📋 Payload JSON (raw engine output)
{
"engine": {
"name": "OC Scientific Lunar Engine",
"version": "2.0.0",
"ephemeris_model": "OCSE-Lite-2026A",
"reference_frame": "ICRF/J2000",
"observer_mode": "topocentric",
"time_scales": {
"jd_utc": 2461206.1666550925,
"jd_ut1": 2461206.1666546976,
"jd_tai": 2461206.1670833332,
"jd_tt": 2461206.1674558334,
"delta_t_seconds": 75.074584,
"delta_t_effective_seconds": 69.21813189983368,
"delta_t_input_seconds": 69,
"delta_t_mode": "auto",
"ut1_minus_utc_seconds": -0.03412112040895062,
"tai_minus_utc_seconds": 37,
"leap_seconds_default": 37
},
"uncertainty": {
"position_arcmin_typical": 5,
"rise_set_minutes_typical": 3,
"tracking_rate_arcsec_per_sec_typical": 3,
"notes": "Truncated-series approximation. Position residual ~5 arcsec at J2000, larger near kernel boundaries. Use the full DE440 path for sub-arcsec precision."
},
"methodology": {
"rise_set": "Adaptive step + bisection root-finding with dynamic threshold (upper-limb/center, dip, refraction, parallax).",
"phase": "Elongation + phase-angle photometry (k = (1 + cos(i)) / 2).",
"topocentric": "RA/Dec -> horizontal with optional refraction and parallax correction.",
"apparent_coordinates": "Low-order nutation + annual aberration correction applied to lunar apparent place."
}
},
"observer": {
"latitude_deg": 39.9625,
"longitude_deg": -83.0061,
"altitude_m": 0,
"pressure_hpa": 1013.25,
"temperature_c": 20,
"humidity_pct": 60,
"timezone": "America/New_York",
"ut1_minus_utc_seconds": 0,
"observer_mode": "topocentric",
"reference_frame": "ICRF/J2000",
"use_refraction": true,
"rise_set_disc": "upper_limb",
"rise_set_refraction_deg": 0.5667,
"event_step_seconds": 300,
"tai_minus_utc_seconds": 37,
"delta_t_mode": "auto",
"delta_t_seconds": 69,
"tracking_interval_seconds": 60,
"birth_date_iso": "",
"polar_motion_xp_arcsec": 0,
"polar_motion_yp_arcsec": 0,
"wavelength_nm": 550,
"refraction_model": "bennett",
"use_wgs84_parallax": false,
"ephemeris_mode": "de440",
"nutation_model": "iau2000a",
"hemisphere_override": "auto",
"calendar_system": "gregorian",
"display_mode": "standard",
"scientific_mode": true,
"with_velocity": true,
"compare_de440": true,
"include_monthly_ephemeris": false,
"frame_mode": "icrs",
"apparent_mode": "apparent",
"engine_mode": "auto",
"precession_model": "iau2006",
"aberration_model": "annual_diurnal",
"light_time_correction": true,
"shapiro_in_light_time": true,
"occultation_catalog": "hipparcos",
"monte_carlo_trials": 0,
"gum_coverage_factor": 2
},
"time": {
"utc_iso": "2026-06-14T15:59:59Z",
"local_iso": "2026-06-14T11:59:59-04:00",
"local_sidereal_deg": 59.95971,
"local_sidereal_hms": "03:59:50",
"jd_utc": 2461206.1666550925,
"jd_ut1": 2461206.1666546976,
"jd_tt": 2461206.1674558334,
"delta_t_seconds": 69.21813189983368
},
"sun": {
"ra_deg": 83.046739,
"ra_hms": "05:32:11",
"dec_deg": 23.28413,
"dec_dms": "+23:17:02.87",
"lambda_deg": 83.615503,
"distance_au": 1.015673889,
"distance_km": 151942651.091
},
"moon": {
"ra_deg": 75.446158,
"ra_hms": "05:01:47",
"dec_deg": 27.659152,
"dec_dms": "+27:39:32.95",
"ra_mean_deg": 76.620506,
"ra_mean_hms": "05:06:29",
"dec_mean_deg": 22.865956,
"dec_mean_dms": "+22:51:57.44",
"ra_topocentric_deg": 75.686398,
"ra_topocentric_hms": "05:02:45",
"dec_topocentric_deg": 27.427431,
"dec_topocentric_dms": "+27:25:38.75",
"ra_astrometric_j2000_deg": 75.278031,
"ra_astrometric_j2000_hms": "05:01:07",
"dec_astrometric_j2000_deg": 27.388858,
"dec_astrometric_j2000_dms": "+27:23:19.89",
"lambda_deg": 77.092351,
"lambda_mean_deg": 77.689143,
"beta_deg": 4.870986,
"distance_km": 357284.19797017484,
"distance_earth_radii": 56.017013,
"distance_topocentric_km": 351219.3949701748,
"distance_topocentric_earth_radii": 55.066139,
"angular_diameter_arcmin": 33.4339,
"horizontal_parallax_deg": 1.022883,
"argument_of_latitude_deg": 104.239842,
"source": "DE440+Meeus-elements",
"helio_range_rate_km_s": 0.055317,
"distance_km_baseline": 357284.184,
"distance_km_with_gr": 357284.19797017484,
"distance_topocentric_km_baseline": 351219.381,
"distance_topocentric_km_with_gr": 351219.3949701748,
"position_km_baseline_residual": [
79521.99552373233,
306301.0285622406,
165855.14839409743
],
"position_km": [
79521.99558104818,
306301.02878285217,
165855.14851355075
]
},
"topocentric": {
"altitude_geometric_deg": 71.933336,
"altitude_apparent_deg": 71.938588,
"azimuth_deg": 129.125925,
"hour_angle_deg": -15.486448,
"refraction_deg": 0.005252,
"polar_motion_w": {
"w_matrix": [
[
1,
-6.027151524426488e-11,
0
],
[
6.027151524426488e-11,
1,
0
],
[
0,
0,
1
]
],
"sp_arcsec": -1.243189241407721e-5,
"xp_arcsec": 0,
"yp_arcsec": 0,
"observer_tirs_km": {
"x": 596.0798045754972,
"y": -4858.957032372655,
"z": 4074.7950520466584
},
"displacement_m": 0.0002950522003657252,
"meridional_displacement_m": 0,
"has_correction": true
},
"ecliptic_lon_deg": 77.281902,
"ecliptic_lat_deg": 4.619222
},
"phase": {
"name": "New Moon",
"fraction_0_1": 0.98188013,
"age_days": 28.995498,
"elongation_deg": 8.134724,
"phase_angle_deg": 171.846167,
"illumination_pct": 0.505458,
"bright_limb_position_angle_deg": 120.839313,
"parallactic_angle_deg": -42.161724
},
"upcoming_primary_phases": [
{
"phase_key": "new_moon",
"phase_name": "New Moon",
"target_phase_angle_deg": 0,
"local_iso": "2026-06-14T22:54:07-04:00",
"local_label": "14/06/2026 22:54",
"utc_iso": "2026-06-15T02:54:07Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "first_quarter",
"phase_name": "First Quarter",
"target_phase_angle_deg": 90,
"local_iso": "2026-06-21T17:55:21-04:00",
"local_label": "21/06/2026 17:55",
"utc_iso": "2026-06-21T21:55:21Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "full_moon",
"phase_name": "Full Moon",
"target_phase_angle_deg": 180,
"local_iso": "2026-06-29T19:56:36-04:00",
"local_label": "29/06/2026 19:56",
"utc_iso": "2026-06-29T23:56:36Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "last_quarter",
"phase_name": "Last Quarter",
"target_phase_angle_deg": 270,
"local_iso": "2026-07-07T15:28:55-04:00",
"local_label": "07/07/2026 15:28",
"utc_iso": "2026-07-07T19:28:55Z",
"approx_uncertainty_minutes": 60
}
],
"tracking_rates": {
"interval_seconds": 60,
"dra_deg_per_min": 0.01212808,
"ddec_deg_per_min": 0.00084043,
"dalt_deg_per_min": 0.144358956,
"daz_deg_per_min": 0.51538181,
"dra_arcsec_per_sec": 0.72768481,
"ddec_arcsec_per_sec": 0.050425798,
"dalt_arcsec_per_sec": 8.661537383,
"daz_arcsec_per_sec": 30.922908621
},
"anomalistic_orbit": {
"distance_km": 357284.184,
"mean_anomaly_deg": 358.048709,
"distance_from_perigee_km": 784.184,
"distance_from_apogee_km": 49415.816,
"near_perigee_pct": 98.43788,
"near_apogee_pct": 1.56212,
"orbital_trend": "approaching_perigee",
"position_label": "near_perigee",
"supermoon_candidate": true,
"perigee_reference_km": 356500,
"apogee_reference_km": 406700
},
"orientation": {
"colongitude_deg": 83.476848,
"libration_longitude_deg_approx": -0.404898,
"libration_latitude_deg_approx": 4.97044,
"subsolar_lon_deg_approx": 173.476848,
"subsolar_lat_deg_approx": -4.870986,
"subobserver_lon_deg_approx": -6.523152,
"subobserver_lat_deg_approx": -2.435493
},
"apparent_corrections": {
"nutation_longitude_deg": 0.001991144,
"nutation_obliquity_deg": 0.00208708,
"annual_aberration_longitude_deg": -0.005637117,
"true_obliquity_deg": 23.437925221,
"annual_aberration_eccentricity_term_omitted": true,
"annual_aberration_constant_arcsec": 20.49552,
"diurnal_aberration_max_arcsec": 0.24526879440676563
},
"events": {
"moonrise_local": "05:05:35",
"moonset_local": "21:07:50",
"transit_local": "13:05:05",
"transit_altitude_deg": 77.533685,
"transit_local_sidereal_deg": 76.275094,
"transit_local_sidereal_hms": "05:05:06",
"event_timezone": "America/New_York",
"rise_set_status": "normal",
"rise_set_method": "adaptive-scan+binary-root",
"horizon_threshold_deg": 0.177567,
"horizon_components": {
"disc_mode": "upper_limb",
"semi_diameter_deg": 0.278615,
"dip_deg": 0,
"refraction_deg": 0.5667,
"parallax_deg": 1.022883
}
},
"tides": {
"coefficient_0_100_approx": 100,
"regime": "syzygy",
"classification_source": "spring-neap approximation from synodic geometry"
},
"multicultural_calendars": {
"jd": 2461205.5,
"gregorian": "2026-06-14",
"julian": "2026-06-01",
"hijri": {
"year": 1447,
"month": 12,
"day": 28,
"month_name": "Dhū al-Ḥijjah",
"iso": "1447-12-28 AH"
},
"hebrew": {
"year": 5786,
"month": 3,
"day": 29,
"month_name": "Sivan",
"iso": "5786-03-29 AM"
},
"chinese": {
"year": 2026,
"is_simplified": true,
"cycle60_year": "Bǐng-Wǔ",
"stem": "Bǐng",
"branch": "Wǔ",
"zodiac": "Horse",
"lunar_month": 4,
"lunar_day": 29,
"iso": "2026 (Horse) Month 4, day 29"
}
},
"folk_names": {
"full_moon_of_month": {
"name": "Strawberry Moon",
"name_en": "Strawberry Moon",
"name_pt_br": "Lua do Morango",
"origin": "Algonquin",
"meaning": "Short ripe-strawberry season in North America.",
"meaning_pt_br": "Curta temporada de morango maduro na América do Norte.",
"season_north": "Summer",
"season_south": "Winter",
"month": 6
},
"new_moon_of_month": {
"name": "New Moon",
"name_en": "New Moon",
"name_pt_br": "Lua Nova",
"origin": "—",
"meaning": "New Moon does not receive a standard folk name (except Black Moon).",
"meaning_pt_br": "Nova Lua não recebe nome folclórico padrão (exceto Lua Negra).",
"month": 6
},
"tupi_guarani": {
"term": "Jacy pytuna",
"phase_input": "New Moon"
}
},
"kinematics": {
"orbital_velocity_km_s": 1.0928,
"orbital_velocity_km_h": 3934.2,
"distance_km_used": 357284.2,
"travel_times": {
"foot": {
"vehicle": "Walking (5 km/h)",
"speed_kmh": 5,
"travel_hours": 71456.83688138725,
"travel_human": "8.2 years"
},
"bike": {
"vehicle": "By bicycle (20 km/h)",
"speed_kmh": 20,
"travel_hours": 17864.209220346813,
"travel_human": "2.0 years"
},
"car": {
"vehicle": "By car (100 km/h)",
"speed_kmh": 100,
"travel_hours": 3572.8418440693627,
"travel_human": "148.9 days"
},
"plane": {
"vehicle": "Commercial aircraft (900 km/h)",
"speed_kmh": 900,
"travel_hours": 396.9824271188181,
"travel_human": "16.5 days"
},
"concorde": {
"vehicle": "Concorde (2180 km/h)",
"speed_kmh": 2180,
"travel_hours": 163.8918277096038,
"travel_human": "6.8 days"
},
"sr71": {
"vehicle": "SR-71 Blackbird (3540 km/h)",
"speed_kmh": 3540,
"travel_hours": 100.9277357081741,
"travel_human": "4.2 days"
},
"apollo": {
"vehicle": "Apollo 11 (~5050 km/h avg)",
"speed_kmh": 5050,
"travel_hours": 70.74934344691808,
"travel_human": "2.9 days"
},
"iss": {
"vehicle": "ISS (27600 km/h)",
"speed_kmh": 27600,
"travel_hours": 12.94507914517885,
"travel_human": "12.9 h"
},
"parker": {
"vehicle": "Parker Solar Probe (635266 km/h)",
"speed_kmh": 635266,
"travel_hours": 0.5624166638965981,
"travel_human": "33.7 min"
},
"light": {
"vehicle": "Speed of light (1.08e9 km/h)",
"speed_kmh": 1079252848,
"travel_hours": 0.00033104771052402753,
"travel_human": "1.19 s"
}
},
"light_travel_seconds": 1.1918000465994871,
"light_travel_seconds_baseline": 1.1918,
"light_travel_seconds_with_gr": 1.1918000465994871
},
"equation_of_time": {
"minutes": -0.3198,
"total_seconds": -19.19,
"human": "−0m 19s",
"sundial_offset": 0.3198
},
"extras": {
"next_blue_moon": {
"utc_iso": "2028-12-31T16:48:49Z",
"local_iso": "2028-12-31 11:48:49",
"month": 12,
"year": 2028,
"tz": "America/New_York"
},
"next_black_moon": {
"utc_iso": "2027-08-31T17:41:38Z",
"local_iso": "2027-08-31 13:41:38",
"month": 8,
"year": 2027,
"tz": "America/New_York"
},
"lunar_standstill": {
"cycle_years": 18.6125,
"next_major_year": 2043.46,
"next_minor_year": 2034.16,
"last_major_year": 2024.85,
"declination_amplitude_deg_major": 28.5,
"declination_amplitude_deg_minor": 18.3
}
},
"birth_date_metrics": null,
"scientific": {
"engine_mode": "auto",
"apparent_mode": "apparent",
"frame_mode": "icrs",
"nutation_model": "iau2000a",
"precession_model": "iau2006",
"aberration_model": "annual_diurnal",
"frame_bias_matrix_B": [
[
0.9999999999999942,
-7.0782797442e-8,
8.056148939e-8
],
[
7.0782794779e-8,
0.999999999999997,
3.3060414542e-8
],
[
-8.056149173e-8,
-3.306040884e-8,
0.9999999999999962
]
],
"precession_matrix_P": [
[
0.9999792041888657,
-0.005914939410813805,
-0.0025699575034394072
],
[
0.005914939494822445,
0.9999825065637391,
-7.567961870663e-6
],
[
0.0025699573100875558,
-7.633338648352e-6,
0.9999966976251254
]
],
"nutation_matrix_N": [
[
0.9999999993961484,
3.1885192113203e-5,
1.3821639903867e-5
],
[
-3.188468861921e-5,
0.9999999988282333,
-3.6426638834908e-5
],
[
-1.3822801358048e-5,
3.6426198114226e-5,
0.9999999992410311
]
],
"npb_matrix": [
[
0.9999794274945345,
-0.005883125575250043,
-0.00255605578359799
],
[
0.005883032632540969,
0.9999826938510874,
-4.3879004324948e-5
],
[
0.0025562696938085305,
2.8840742038388e-5,
0.9999967323213933
]
],
"state_vector_icrs": {
"position_km_x": 81746.438117,
"position_km_y": 305832.637094,
"position_km_z": 165637.877222,
"velocity_km_s_x": -1.072858465,
"velocity_km_s_y": 0.237786568,
"velocity_km_s_z": 0.075712015,
"reference_epoch": "J2000.0",
"frame": "ICRS"
},
"uncertainty_budget": {
"ephemeris_arcsec_1sigma": 5,
"nutation_arcsec_1sigma": 0.001,
"precession_arcsec_1sigma": 0.05,
"frame_bias_arcsec_1sigma": 0.025,
"aberration_arcsec_1sigma": 0.0005,
"parallax_arcsec_1sigma": 0.1,
"refraction_arcsec_1sigma": 5,
"polar_motion_arcsec_1sigma": 0.001,
"delta_t_arcsec_1sigma": 0.5,
"rss_total_arcsec_1sigma": 7.089649,
"distance_km_1sigma": 50
},
"de440_comparison": {
"lite_ra_deg": 75.036997,
"lite_dec_deg": 27.61999,
"lite_distance_km": 357284.184,
"de440_ra_deg": 75.031005,
"de440_dec_deg": 27.619395,
"de440_distance_km": 357287.943,
"delta_ra_arcsec": 21.5708,
"delta_dec_arcsec": 2.1422,
"delta_distance_km": -3.759,
"delta_total_arcsec": 21.6769,
"within_envelope": true,
"envelope_arcsec": 60,
"frame": "ICRS J2000.0"
},
"eclipse_imminence": null,
"provenance": {
"algorithms": {
"lunar_position": "Chapront-Touze & Chapront 1988 (ELP-2000/82B truncated)",
"planetary": "Bretagnon & Francou 1988 (VSOP87D)",
"nutation": "IAU 2000A (Mathews, Herring & Buffett 2002 / IERS Conventions 2010, 1365 luni-solar + 687 planetary terms)",
"precession": "Capitaine, Wallace & Chapront 2003 (IAU 2006 P03)",
"frame_bias": "IERS Conventions 2010, B matrix (xi_0, eta_0, da_0)",
"delta_t": "Espenak & Meeus 2006 polynomial",
"aberration": "Annual + diurnal aberration (Kaplan 2005)",
"refraction": "Bennett 1982 (default) / Saemundsson 1986 (optional), wavelength reference 590 nm",
"topocentric": "WGS84 ellipsoid + horizontal parallax"
},
"data_sources": {
"iers": "IERS Conventions 2010; Bulletin A (UT1-UTC, polar motion) accepted as manual override",
"iau": "IAU SOFA / NOFA",
"jpl": "JPL Planetary and Lunar Ephemerides DE440 (Park et al. 2021)"
},
"engine_caveat": "Lite engine: truncated series with documented residuals (~5 arcsec position, ~50 km distance).",
"inputs": {
"date": {
"value": "2026-06-14",
"default_used": true,
"unit": "ISO 8601 date",
"sanitization": "regex YYYY-MM-DD + clamp year [1700, 9000]"
},
"time": {
"value": "12:00:00",
"default_used": true,
"unit": "ISO 8601 time HH:MM",
"sanitization": "regex \\d{2}:\\d{2}"
},
"tz": {
"value": "America/New_York",
"default_used": true,
"unit": "IANA timezone",
"sanitization": "string trim, fallback America/Sao_Paulo"
},
"jd_input": {
"value": null,
"default_used": true,
"unit": "Julian Date",
"sanitization": "is_finite, range [1721057.5, 2500000.5]"
},
"mjd_input": {
"value": null,
"default_used": true,
"unit": "Modified Julian Date",
"sanitization": "is_finite, range [-179000, 100000]"
},
"jd_tt_input": {
"value": null,
"default_used": true,
"unit": "Julian Date in TT scale",
"sanitization": "is_finite"
},
"jd_ut1_input": {
"value": null,
"default_used": true,
"unit": "Julian Date in UT1 scale",
"sanitization": "is_finite"
},
"jd_tai_input": {
"value": null,
"default_used": true,
"unit": "Julian Date in TAI scale",
"sanitization": "is_finite"
},
"cjd_input": {
"value": null,
"default_used": true,
"unit": "Chronological Julian Date",
"sanitization": "is_finite"
},
"lat": {
"value": 39.9625,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [-90, 90]"
},
"lon": {
"value": -83.0061,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [-180, 180]"
},
"alt": {
"value": 0,
"default_used": true,
"unit": "metres above WGS84",
"sanitization": "clamp [-430, 12000]"
},
"pressure": {
"value": 1013.25,
"default_used": true,
"unit": "hPa",
"sanitization": "is_finite"
},
"temp": {
"value": 20,
"default_used": true,
"unit": "degrees Celsius",
"sanitization": "is_finite"
},
"humidity": {
"value": 60,
"default_used": true,
"unit": "percent relative humidity",
"sanitization": "is_finite"
},
"co2_ppm": {
"value": 425,
"default_used": true,
"unit": "parts per million volume",
"sanitization": "clamp [280, 600]"
},
"temp_lapse_rate_K_per_km": {
"value": 6.5,
"default_used": true,
"unit": "kelvin per kilometre",
"sanitization": "clamp [0, 15]"
},
"ozone_thickness_DU": {
"value": 300,
"default_used": true,
"unit": "Dobson units",
"sanitization": "clamp [50, 800]"
},
"water_vapor_partial_hPa": {
"value": 12,
"default_used": true,
"unit": "hPa",
"sanitization": "clamp [0, 100]"
},
"aerosol_optical_depth": {
"value": 0.1,
"default_used": true,
"unit": "optical depth dimensionless",
"sanitization": "clamp [0, 3]"
},
"cloud_cover_pct": {
"value": 0,
"default_used": true,
"unit": "percent",
"sanitization": "clamp [0, 100]"
},
"observer_mode": {
"value": "topocentric",
"default_used": true,
"unit": "enum",
"sanitization": "enum {topocentric, geocentric}"
},
"lunar_target": {
"value": "com",
"default_used": true,
"unit": "enum",
"sanitization": "enum LunarRetroreflectors::REFLECTORS or com"
},
"frame": {
"value": "ICRF/J2000",
"default_used": true,
"unit": "reference frame label",
"sanitization": "string trim"
},
"refraction": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "absence => true; \"0\" => false"
},
"rise_disc": {
"value": "upper_limb",
"default_used": true,
"unit": "enum",
"sanitization": "enum {upper_limb, center}"
},
"rise_refraction": {
"value": 0.5667,
"default_used": true,
"unit": "degrees",
"sanitization": "is_finite"
},
"refraction_model": {
"value": "bennett",
"default_used": true,
"unit": "enum",
"sanitization": "enum {bennett, saemundsson, mendes_pavlis, none}"
},
"elev_cutoff_deg": {
"value": -90,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [-90, 90]"
},
"airmass_max": {
"value": 38,
"default_used": true,
"unit": "airmass dimensionless",
"sanitization": "clamp [1, 100]"
},
"solar_elong_min_deg": {
"value": 0,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [0, 180], swap if > max"
},
"solar_elong_max_deg": {
"value": 180,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [0, 180], swap if < min"
},
"lha_cutoff_deg": {
"value": 180,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [0, 180]"
},
"skip_daylight": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1}"
},
"magnitude_max": {
"value": 99,
"default_used": true,
"unit": "magnitudes V band",
"sanitization": "clamp [-30, 99]"
},
"extra_precision": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1}"
},
"time_digits": {
"value": "seconds",
"default_used": true,
"unit": "enum",
"sanitization": "enum {seconds, minutes, hours, fracsec}"
},
"csv_format": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1}"
},
"event_step": {
"value": 300,
"default_used": true,
"unit": "seconds",
"sanitization": "clamp [60, 3600]"
},
"tracking_interval": {
"value": 60,
"default_used": true,
"unit": "seconds",
"sanitization": "clamp [10, 600]"
},
"ut1_utc": {
"value": 0,
"default_used": true,
"unit": "seconds",
"sanitization": "is_finite"
},
"tai_utc": {
"value": 37,
"default_used": true,
"unit": "seconds",
"sanitization": "is_finite"
},
"dt_mode": {
"value": "auto",
"default_used": true,
"unit": "enum",
"sanitization": "enum {auto, manual}"
},
"dt_seconds": {
"value": 69,
"default_used": true,
"unit": "seconds",
"sanitization": "is_finite"
},
"time_scale_output": {
"value": [
"UTC"
],
"default_used": true,
"unit": "array of enum",
"sanitization": "array intersect {TT,TAI,UTC,UT1,TDB,TCG,TCB,TCL,GPS}"
},
"tt_tdb_model": {
"value": "fb_irwin",
"default_used": true,
"unit": "enum",
"sanitization": "enum {fairhead_bretagnon, fb_irwin, te405}"
},
"engine_mode": {
"value": "auto",
"default_used": true,
"unit": "enum",
"sanitization": "enum {lite, de440, auto}"
},
"apparent_mode": {
"value": "apparent",
"default_used": true,
"unit": "enum",
"sanitization": "enum {apparent, geometric}"
},
"nutation_model": {
"value": "iau2000a",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iau1980_eq, iau2000a, iau2000b}"
},
"precession_model": {
"value": "iau2006",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iau1976, iau2006}"
},
"aberration_model": {
"value": "annual_diurnal",
"default_used": true,
"unit": "enum",
"sanitization": "enum {annual, annual_diurnal}"
},
"occultation_catalog": {
"value": "hipparcos",
"default_used": true,
"unit": "enum",
"sanitization": "enum {hipparcos, tycho2, gaia_dr3}"
},
"monte_carlo_trials": {
"value": 0,
"default_used": true,
"unit": "count",
"sanitization": "enum {0, 10000, 100000, 1000000}"
},
"gum_coverage_factor": {
"value": 2,
"default_used": true,
"unit": "k coverage factor",
"sanitization": "enum {1, 2, 3}"
},
"ephemeris_selector": {
"value": "de440",
"default_used": true,
"unit": "enum",
"sanitization": "enum {de440, de441, inpop21a, epm2021}"
},
"light_time_correction": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"with_velocity": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"compare_de440": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"wavelength_nm": {
"value": 550,
"default_used": true,
"unit": "nanometres",
"sanitization": "clamp [300, 1100]"
},
"polar_motion_xp_arcsec": {
"value": 0,
"default_used": true,
"unit": "arcseconds",
"sanitization": "clamp [-1, 1]"
},
"polar_motion_yp_arcsec": {
"value": 0,
"default_used": true,
"unit": "arcseconds",
"sanitization": "clamp [-1, 1]"
},
"eop_source": {
"value": "finals2000A",
"default_used": true,
"unit": "enum",
"sanitization": "enum {finals2000A, C04, BulletinA_predicted, manual}"
},
"length_of_day_seconds": {
"value": 0,
"default_used": true,
"unit": "seconds",
"sanitization": "clamp [-0.01, 0.01]"
},
"cpo_dx_mas": {
"value": 0,
"default_used": true,
"unit": "milliarcseconds",
"sanitization": "clamp [-1, 1]"
},
"cpo_dy_mas": {
"value": 0,
"default_used": true,
"unit": "milliarcseconds",
"sanitization": "clamp [-1, 1]"
},
"fcn_amplitude_mas": {
"value": 0.05,
"default_used": true,
"unit": "milliarcseconds",
"sanitization": "clamp [0, 0.5]"
},
"fcn_phase_deg": {
"value": 0,
"default_used": true,
"unit": "degrees",
"sanitization": "modulo 360"
},
"solid_earth_tide_model": {
"value": "iers2010_step1_step2",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iers2010_step1_step2, iers2003, iers1996, off}"
},
"ocean_loading_model": {
"value": "fes2014b",
"default_used": true,
"unit": "enum",
"sanitization": "enum {fes2014b, fes2022, tpxo9, got4_10c, off}"
},
"pole_tide_model": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"ocean_pole_tide": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"atmospheric_pressure_loading": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"hydrological_loading": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"selenocentric_frame": {
"value": "me",
"default_used": true,
"unit": "enum",
"sanitization": "enum {me, pa}"
},
"galactic_aberration": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"mendes_pavlis_refraction": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"deflection_of_vertical_xi_arcsec": {
"value": 0,
"default_used": true,
"unit": "arcseconds",
"sanitization": "clamp [-30, 30]"
},
"deflection_of_vertical_eta_arcsec": {
"value": 0,
"default_used": true,
"unit": "arcseconds",
"sanitization": "clamp [-30, 30]"
},
"output_angle_format": {
"value": "decimal",
"default_used": true,
"unit": "enum",
"sanitization": "enum {decimal, sexagesimal}"
},
"output_unit_distance": {
"value": "km",
"default_used": true,
"unit": "enum",
"sanitization": "enum {km, au, earth_radii, thousand_km}"
},
"output_frame": {
"value": "j2000",
"default_used": true,
"unit": "enum",
"sanitization": "enum {mean_of_date, true_of_date, j2000, icrs}"
},
"birth_date": {
"value": "",
"default_used": true,
"unit": "ISO 8601 date",
"sanitization": "regex YYYY-MM-DD or empty"
},
"calendar_system": {
"value": "gregorian",
"default_used": true,
"unit": "enum",
"sanitization": "enum {gregorian, julian}"
},
"hemisphere": {
"value": "auto",
"default_used": true,
"unit": "enum",
"sanitization": "enum {auto, north, south}"
},
"show_formulas": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1}"
},
"language": {
"value": "en",
"default_used": true,
"unit": "enum",
"sanitization": "enum {pt_br, en, es}"
},
"libration_model": {
"value": "eckhardt1981",
"default_used": true,
"unit": "enum",
"sanitization": "enum {eckhardt1981, iau2009}"
},
"lunar_pole_model": {
"value": "iau2009",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iau2009, spice_pck, constant}"
},
"earth_rotation_model": {
"value": "iers2010",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iers2010, iau2000}"
},
"solar_phase_function": {
"value": "hapke1984",
"default_used": true,
"unit": "enum",
"sanitization": "enum {lambert, hapke1984, lommel-seeliger}"
},
"frame_origin": {
"value": "geocentric",
"default_used": true,
"unit": "enum",
"sanitization": "enum {geocentric, topocentric, barycentric, heliocentric}"
},
"frame_epoch": {
"value": "J2000.0",
"default_used": true,
"unit": "enum",
"sanitization": "enum {J2000.0, B1950.0, of-date, of_date_2000}"
},
"frame_version": {
"value": "ICRS",
"default_used": true,
"unit": "enum",
"sanitization": "enum {FK4, FK5, ICRS, ITRS}"
},
"frame_correction": {
"value": "cio_based",
"default_used": true,
"unit": "enum",
"sanitization": "enum {cio_based, equinox_based}"
},
"earth_model": {
"value": "WGS84",
"default_used": true,
"unit": "enum",
"sanitization": "enum {WGS84, GRS80, IERS2010}"
},
"geoid_correction": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"ellipsoid_flattening_override": {
"value": null,
"default_used": true,
"unit": "dimensionless 1/f override",
"sanitization": "is_finite or null"
},
"catalog_choice": {
"value": "none",
"default_used": true,
"unit": "enum",
"sanitization": "enum {gaia_dr3, hipparcos, tycho2, none}"
},
"proper_motion_correction": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"parallax_correction": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"gravitational_deflection_sun": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"gravitational_deflection_moon": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"eclipse_threshold_arcmin": {
"value": 32,
"default_used": true,
"unit": "arcminutes",
"sanitization": "clamp [0, 60]"
},
"eclipse_search_window_days": {
"value": 90,
"default_used": true,
"unit": "days",
"sanitization": "clamp [1, 365]"
},
"conjunction_threshold_deg": {
"value": 5,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [0, 30]"
},
"occultation_min_mag": {
"value": 6.5,
"default_used": true,
"unit": "magnitudes V band",
"sanitization": "is_finite"
},
"transit_min_distance_arcmin": {
"value": 60,
"default_used": true,
"unit": "arcminutes",
"sanitization": "min 0"
},
"aperture_mm": {
"value": 0,
"default_used": true,
"unit": "millimetres",
"sanitization": "clamp [0, 2000]"
},
"focal_length_mm": {
"value": 0,
"default_used": true,
"unit": "millimetres",
"sanitization": "clamp [0, 10000]"
},
"fov_arcmin": {
"value": 0,
"default_used": true,
"unit": "arcminutes",
"sanitization": "clamp [0, 1000]"
},
"exposure_time_s": {
"value": 0,
"default_used": true,
"unit": "seconds",
"sanitization": "clamp [0, 3600]"
},
"seeing_arcsec": {
"value": 1.5,
"default_used": true,
"unit": "arcseconds",
"sanitization": "clamp [0.5, 10]"
},
"use_sofa": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1, on}"
},
"advanced_gr": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "absence => true; \"0\" => false"
},
"qty_relativistic_time": {
"value": true,
"default_used": true,
"unit": "boolean",
"sanitization": "absence => true; \"0\" => false"
},
"redshift_wavelength_nm": {
"value": 550,
"default_used": true,
"unit": "nanometres",
"sanitization": "clamp [100, 2000]"
},
"qubit_polarization_deg": {
"value": 45,
"default_used": true,
"unit": "degrees",
"sanitization": "clamp [0, 360]"
},
"ltc_compare_location": {
"value": "earth_surface",
"default_used": true,
"unit": "enum",
"sanitization": "enum {earth_surface, iss, lunar_surface}"
},
"eta_nordtvedt": {
"value": 0,
"default_used": true,
"unit": "dimensionless eta parameter",
"sanitization": "clamp [-1e-3, 1e-3]"
},
"dot_g_over_g_per_year": {
"value": 0,
"default_used": true,
"unit": "inverse years",
"sanitization": "clamp [-1e-11, 1e-11]"
},
"years_backward_g": {
"value": 1000,
"default_used": true,
"unit": "years",
"sanitization": "clamp [100, 100000]"
},
"m_g_eV": {
"value": 0,
"default_used": true,
"unit": "electron volts",
"sanitization": "clamp [0, 1e-15]"
},
"sme_s_xx": {
"value": 0,
"default_used": true,
"unit": "dimensionless SME tensor",
"sanitization": "clamp [-1e-6, 1e-6]"
},
"sme_s_yy": {
"value": 0,
"default_used": true,
"unit": "dimensionless SME tensor",
"sanitization": "clamp [-1e-6, 1e-6]"
},
"sme_s_zz": {
"value": 0,
"default_used": true,
"unit": "dimensionless SME tensor",
"sanitization": "clamp [-1e-6, 1e-6]"
},
"enable_cosmological_lambda": {
"value": false,
"default_used": true,
"unit": "boolean",
"sanitization": "enum {0, 1}"
},
"cosmo_lambda_value": {
"value": null,
"default_used": true,
"unit": "inverse metres squared",
"sanitization": "clamp [0, 1e-48] or null"
},
"gm_earth_override": {
"value": null,
"default_used": true,
"unit": "m^3 s^-2 override or null",
"sanitization": "is_finite or null"
},
"gm_moon_override": {
"value": null,
"default_used": true,
"unit": "m^3 s^-2 override or null",
"sanitization": "is_finite or null"
},
"gm_sun_override": {
"value": null,
"default_used": true,
"unit": "m^3 s^-2 override or null",
"sanitization": "is_finite or null"
},
"c_override": {
"value": null,
"default_used": true,
"unit": "metres per second override or null",
"sanitization": "is_finite > 0 or null"
},
"earth_zonal_harmonics": {
"value": "j2_only",
"default_used": true,
"unit": "enum",
"sanitization": "enum {j2_only, j2_j3, j2_j3_j4}"
}
}
},
"monthly_ephemeris": [
{
"date_utc": "2026-06-14",
"ra_deg": 64.125124,
"dec_deg": 26.405844,
"distance_km": 358113.891,
"phase_pct": 1.9556,
"angular_diameter_arcmin": 1.001
},
{
"date_utc": "2026-06-15",
"ra_deg": 81.185379,
"dec_deg": 27.937258,
"distance_km": 357197.304,
"phase_pct": 0.023,
"angular_diameter_arcmin": 1.0036
},
{
"date_utc": "2026-06-16",
"ra_deg": 98.388489,
"dec_deg": 27.339784,
"distance_km": 358225.793,
"phase_pct": 1.2002,
"angular_diameter_arcmin": 1.0007
},
{
"date_utc": "2026-06-17",
"ra_deg": 114.91324,
"dec_deg": 24.728897,
"distance_km": 361091.317,
"phase_pct": 5.3279,
"angular_diameter_arcmin": 0.9927
},
{
"date_utc": "2026-06-18",
"ra_deg": 130.228587,
"dec_deg": 20.507716,
"distance_km": 365482.512,
"phase_pct": 11.9535,
"angular_diameter_arcmin": 0.9808
},
{
"date_utc": "2026-06-19",
"ra_deg": 144.214521,
"dec_deg": 15.193301,
"distance_km": 370949.453,
"phase_pct": 20.454,
"angular_diameter_arcmin": 0.9664
},
{
"date_utc": "2026-06-20",
"ra_deg": 157.046219,
"dec_deg": 9.267996,
"distance_km": 376986.195,
"phase_pct": 30.1677,
"angular_diameter_arcmin": 0.9509
},
{
"date_utc": "2026-06-21",
"ra_deg": 169.030794,
"dec_deg": 3.116541,
"distance_km": 383106.512,
"phase_pct": 40.4852,
"angular_diameter_arcmin": 0.9357
},
{
"date_utc": "2026-06-22",
"ra_deg": 180.501749,
"dec_deg": -2.972685,
"distance_km": 388897.799,
"phase_pct": 50.8915,
"angular_diameter_arcmin": 0.9218
},
{
"date_utc": "2026-06-23",
"ra_deg": 191.772004,
"dec_deg": -8.779871,
"distance_km": 394049.515,
"phase_pct": 60.9688,
"angular_diameter_arcmin": 0.9097
},
{
"date_utc": "2026-06-24",
"ra_deg": 203.116308,
"dec_deg": -14.122544,
"distance_km": 398359.816,
"phase_pct": 70.3799,
"angular_diameter_arcmin": 0.8999
},
{
"date_utc": "2026-06-25",
"ra_deg": 214.759763,
"dec_deg": -18.830891,
"distance_km": 401726.715,
"phase_pct": 78.8477,
"angular_diameter_arcmin": 0.8923
},
{
"date_utc": "2026-06-26",
"ra_deg": 226.859833,
"dec_deg": -22.733916,
"distance_km": 404129.799,
"phase_pct": 86.1378,
"angular_diameter_arcmin": 0.887
},
{
"date_utc": "2026-06-27",
"ra_deg": 239.479361,
"dec_deg": -25.659365,
"distance_km": 405607.233,
"phase_pct": 92.0495,
"angular_diameter_arcmin": 0.8838
},
{
"date_utc": "2026-06-28",
"ra_deg": 252.560455,
"dec_deg": -27.449055,
"distance_km": 406231.59,
"phase_pct": 96.4136,
"angular_diameter_arcmin": 0.8824
},
{
"date_utc": "2026-06-29",
"ra_deg": 265.921414,
"dec_deg": -27.986526,
"distance_km": 406087.24,
"phase_pct": 99.0953,
"angular_diameter_arcmin": 0.8827
},
{
"date_utc": "2026-06-30",
"ra_deg": 279.29763,
"dec_deg": -27.225894,
"distance_km": 405251.631,
"phase_pct": 100,
"angular_diameter_arcmin": 0.8846
},
{
"date_utc": "2026-07-01",
"ra_deg": 292.421403,
"dec_deg": -25.206288,
"distance_km": 403782.456,
"phase_pct": 99.0792,
"angular_diameter_arcmin": 0.8878
},
{
"date_utc": "2026-07-02",
"ra_deg": 305.10344,
"dec_deg": -22.04323,
"distance_km": 401712.294,
"phase_pct": 96.3332,
"angular_diameter_arcmin": 0.8924
},
{
"date_utc": "2026-07-03",
"ra_deg": 317.277288,
"dec_deg": -17.902927,
"distance_km": 399051.598,
"phase_pct": 91.8121,
"angular_diameter_arcmin": 0.8983
},
{
"date_utc": "2026-07-04",
"ra_deg": 328.998973,
"dec_deg": -12.97433,
"distance_km": 395799.941,
"phase_pct": 85.6149,
"angular_diameter_arcmin": 0.9057
},
{
"date_utc": "2026-07-05",
"ra_deg": 340.421615,
"dec_deg": -7.45103,
"distance_km": 391964.401,
"phase_pct": 77.8902,
"angular_diameter_arcmin": 0.9146
},
{
"date_utc": "2026-07-06",
"ra_deg": 351.76764,
"dec_deg": -1.52739,
"distance_km": 387582.793,
"phase_pct": 68.8411,
"angular_diameter_arcmin": 0.9249
},
{
"date_utc": "2026-07-07",
"ra_deg": 3.309137,
"dec_deg": 4.591966,
"distance_km": 382748.335,
"phase_pct": 58.7376,
"angular_diameter_arcmin": 0.9366
},
{
"date_utc": "2026-07-08",
"ra_deg": 15.354126,
"dec_deg": 10.672021,
"distance_km": 377631.121,
"phase_pct": 47.9345,
"angular_diameter_arcmin": 0.9493
},
{
"date_utc": "2026-07-09",
"ra_deg": 28.226183,
"dec_deg": 16.420816,
"distance_km": 372490.625,
"phase_pct": 36.8927,
"angular_diameter_arcmin": 0.9624
},
{
"date_utc": "2026-07-10",
"ra_deg": 42.21505,
"dec_deg": 21.46595,
"distance_km": 367672.526,
"phase_pct": 26.1894,
"angular_diameter_arcmin": 0.975
},
{
"date_utc": "2026-07-11",
"ra_deg": 57.472795,
"dec_deg": 25.355425,
"distance_km": 363583.677,
"phase_pct": 16.5023,
"angular_diameter_arcmin": 0.9859
},
{
"date_utc": "2026-07-12",
"ra_deg": 73.862766,
"dec_deg": 27.616553,
"distance_km": 360642.525,
"phase_pct": 8.5485,
"angular_diameter_arcmin": 0.994
},
{
"date_utc": "2026-07-13",
"ra_deg": 90.864992,
"dec_deg": 27.890811,
"distance_km": 359209.879,
"phase_pct": 2.9783,
"angular_diameter_arcmin": 0.9979
}
]
},
"shapiro_in_pipeline": true,
"shapiro_in_pipeline_meta": {
"shapiro_extra_seconds_earth": 1.1860182417487772e-10,
"shapiro_extra_ns_earth": 0.11860182417487772,
"note": "Earth-Shapiro term injected into the final iteration of the light-time fixed-point loop. Solar term is left to the post-hoc layer."
},
"gr_corrections_applied": {
"shapiro_extra_delay_ns": 46.718089070356136,
"shapiro_extra_delay_s": 4.671808907035614e-8,
"pipeline_applied": true,
"pipeline_earth_term_ns": 0.11860182417487772,
"residual_extra_ns": 46.599487246181255,
"residual_extra_s": 4.659948724618126e-8,
"delta_distance_km": 0.013970174823072331,
"delta_distance_m": 13.97017482307233,
"note": "Earth-Shapiro term already absorbed by the engine light-time loop; only the solar (residual) term applied here to avoid double-counting.",
"residual_vector": {
"time_since_j2000_s": 834724800,
"time_since_j2000_yr": 26.45083276294775,
"galactic_tide": {
"acceleration_m_s2": 6.782581570374105e-22,
"delta_meters": 0.00023629343915573665,
"delta_x_m": -1.297250980964994e-5,
"delta_y_m": -0.00020626054303904252,
"delta_z_m": -0.0001145786886466167,
"direction_unit_icrs": [
-0.0549,
-0.8729,
-0.4849
],
"direction_label": "toward_galactic_center_sgr_a"
},
"yarkovsky": {
"acceleration_m_s2": 7.393377004924752e-19,
"delta_meters": 0.25757249822094663,
"delta_x_m": 0.057328813216285905,
"delta_y_m": 0.22081782956717205,
"delta_z_m": 0.11956791024449288,
"direction_label": "radial_along_earth_moon_line"
},
"total_magnitude_m": 0.2573395974252134,
"note": "Residual perturbation vector from galactic tide (Sgr A* gradient) and lunar Yarkovsky thermal recoil, integrated as Delta r = (1/2) a (t - J2000)^2 from the constant-acceleration approximation. Both contributions sit far below the LLR detection floor (~millimetres per year) and are not part of the DE440 or ELP baseline series."
}
},
"_meta": {
"reproducibility_id_short": "lunar-20260614-0000-tzutc-lat0-lon0-ocscientificlunarenginev2.0.0-ofdate-iau1980-iau1976",
"reproducibility_id_full": "lunar-20260614-0000-tzutc-lat0-lon0-ocscientificlunarenginev2.0.0-ofdate-iau1980-iau1976",
"permalink": "https://www.ocalendario.com.br/scientific-lunar-calculator?lang=en",
"generated_at_utc": "2026-06-14T18:44:43+00:00"
},
"_inputs": {
"lang": "en"
}
}
