📋 Payload JSON (raw engine output)
{
"engine": {
"name": "OC Scientific Lunar Engine",
"version": "2.0.0",
"ephemeris_model": "OCSE-Lite-2026A",
"ephemeris_requested_mode": "de440",
"ephemeris_fallback": null,
"reference_frame": "ICRF/J2000",
"observer_mode": "topocentric",
"time_scales": {
"jd_utc": 2461251.1666550925,
"jd_ut1": 2461251.1666550227,
"jd_tai": 2461251.1670833332,
"jd_tt": 2461251.1674558334,
"delta_t_seconds": 75.074584,
"delta_t_effective_seconds": 69.19004917144775,
"delta_t_input_seconds": 69,
"delta_t_mode": "auto",
"ut1_minus_utc_seconds": -0.006019360887096772,
"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": null,
"polar_motion_yp_arcsec": null,
"wavelength_nm": 550,
"refraction_model": "bennett",
"use_wgs84_parallax": true,
"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",
"occultation_vmag_max": 0,
"monte_carlo_trials": 0,
"gum_coverage_factor": 2
},
"time": {
"utc_iso": "2026-07-29T15:59:59Z",
"local_iso": "2026-07-29T11:59:59-04:00",
"local_sidereal_deg": 104.314559,
"local_sidereal_hms": "06:57:15",
"jd_utc": 2461251.1666550925,
"jd_ut1": 2461251.1666550227,
"jd_tt": 2461251.1674558334,
"delta_t_seconds": 69.19004917144775
},
"sun": {
"ra_deg": 128.945695,
"ra_hms": "08:35:47",
"dec_deg": 18.632591,
"dec_dms": "+18:37:57.33",
"lambda_deg": 126.558089,
"distance_au": 1.015234727,
"distance_km": 151876953.391
},
"moon": {
"ra_deg": 310.164368,
"ra_hms": "20:40:39",
"dec_deg": -20.41845,
"dec_dms": "-20:25:06.42",
"ra_mean_deg": 313.077816,
"ra_mean_hms": "20:52:19",
"dec_mean_deg": -17.569163,
"dec_mean_dms": "-17:34:08.99",
"ra_topocentric_deg": 309.841496,
"ra_topocentric_hms": "20:39:22",
"dec_topocentric_deg": -20.740943,
"dec_topocentric_dms": "-20:44:27.40",
"ra_astrometric_j2000_deg": 309.448571,
"ra_astrometric_j2000_hms": "20:37:48",
"dec_astrometric_j2000_deg": -20.835786,
"dec_astrometric_j2000_dms": "-20:50:08.83",
"lambda_deg": 307.216855,
"lambda_mean_deg": 310.626983,
"beta_deg": -2.018514,
"distance_km": 399461.7277572275,
"distance_earth_radii": 62.629843,
"distance_topocentric_km": 405024.1177572275,
"distance_topocentric_earth_radii": 63.501946,
"angular_diameter_arcmin": 29.9038,
"horizontal_parallax_deg": 0.914871,
"argument_of_latitude_deg": 339.5606,
"source": "DE440+Meeus-elements",
"helio_range_rate_km_s": -0.232964,
"distance_km_baseline": 399461.72,
"distance_km_with_gr": 399461.7277572275,
"distance_topocentric_km_baseline": 405024.11,
"distance_topocentric_km_with_gr": 405024.1177572275
},
"topocentric": {
"altitude_geometric_deg": -60.960044,
"altitude_apparent_deg": -60.960044,
"azimuth_deg": 303.878221,
"hour_angle_deg": 154.150192,
"refraction_deg": 0,
"polar_motion_w": {
"w_matrix": [
[
1,
-6.055224924441455e-11,
0
],
[
6.055224924441455e-11,
1,
0
],
[
0,
0,
1
]
],
"sp_arcsec": -1.2489797958225055e-5,
"xp_arcsec": 0,
"yp_arcsec": 0,
"observer_tirs_km": {
"x": 596.0798045768612,
"y": -4858.957032372487,
"z": 4074.7950520466584
},
"displacement_m": 0.00029642644236447396,
"meridional_displacement_m": 0,
"has_correction": false
},
"ecliptic_lon_deg": 306.841874,
"ecliptic_lat_deg": -2.252932
},
"phase": {
"name": "Full Moon",
"fraction_0_1": 0.50182991,
"age_days": 14.819333,
"elongation_deg": 177.876701,
"phase_angle_deg": 2.11773,
"illumination_pct": 99.96585,
"bright_limb_position_angle_deg": 147.046826,
"parallactic_angle_deg": 42.768676
},
"upcoming_primary_phases": [
{
"phase_key": "new_moon",
"phase_name": "New Moon",
"target_phase_angle_deg": 0,
"local_iso": "2026-08-12T13:36:44-04:00",
"local_label": "12/08/2026 13:36",
"utc_iso": "2026-08-12T17:36:44Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "first_quarter",
"phase_name": "First Quarter",
"target_phase_angle_deg": 90,
"local_iso": "2026-08-19T22:46:20-04:00",
"local_label": "19/08/2026 22:46",
"utc_iso": "2026-08-20T02:46:20Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "full_moon",
"phase_name": "Full Moon",
"target_phase_angle_deg": 180,
"local_iso": "2026-08-28T00:18:29-04:00",
"local_label": "28/08/2026 00:18",
"utc_iso": "2026-08-28T04:18:29Z",
"approx_uncertainty_minutes": 60
},
{
"phase_key": "last_quarter",
"phase_name": "Last Quarter",
"target_phase_angle_deg": 270,
"local_iso": "2026-08-05T22:21:27-04:00",
"local_label": "05/08/2026 22:21",
"utc_iso": "2026-08-06T02:21:27Z",
"approx_uncertainty_minutes": 60
}
],
"tracking_rates": {
"interval_seconds": 60,
"dra_deg_per_min": 0.008545253,
"ddec_deg_per_min": 0.002867901,
"dalt_deg_per_min": -0.149882062,
"daz_deg_per_min": 0.342451562,
"dra_arcsec_per_sec": 0.512715196,
"ddec_arcsec_per_sec": 0.172074074,
"dalt_arcsec_per_sec": -8.992923701,
"daz_arcsec_per_sec": 20.547093699
},
"anomalistic_orbit": {
"distance_km": 399461.72,
"mean_anomaly_deg": 225.973398,
"distance_from_perigee_km": 42961.72,
"distance_from_apogee_km": 7238.28,
"near_perigee_pct": 14.418885,
"near_apogee_pct": 85.581115,
"orbital_trend": "approaching_perigee",
"position_label": "toward_perigee",
"supermoon_candidate": false,
"perigee_reference_km": 356500,
"apogee_reference_km": 406700
},
"orientation": {
"colongitude_deg": 270.658766,
"libration_longitude_deg_approx": -3.713791,
"libration_latitude_deg_approx": -1.790782,
"subsolar_lon_deg_approx": 0.658766,
"subsolar_lat_deg_approx": 2.018514,
"subobserver_lon_deg_approx": -179.341234,
"subobserver_lat_deg_approx": 1.009257
},
"apparent_corrections": {
"nutation_longitude_deg": 0.002645267,
"nutation_obliquity_deg": 0.002173778,
"annual_aberration_longitude_deg": 0.005673195,
"true_obliquity_deg": 23.437995891,
"annual_aberration_eccentricity_term_omitted": false,
"annual_aberration_constant_arcsec": 20.49552,
"diurnal_aberration_max_arcsec": 0.24526879440676563
},
"events": {
"moonrise_local": "21:09:30",
"moonset_local": "06:12:58",
"transit_local": "01:23:11",
"transit_altitude_deg": 27.106961,
"transit_method": "meridian_hour_angle_zero",
"transit_local_sidereal_deg": 304.6745,
"transit_local_sidereal_hms": "20:18:42",
"event_timezone": "America/New_York",
"rise_set_status": "normal",
"rise_set_method": "adaptive-scan+binary-root",
"horizon_threshold_deg": 0.097714,
"horizon_components": {
"disc_mode": "upper_limb",
"semi_diameter_deg": 0.249198,
"dip_deg": 0,
"refraction_deg": 0.5667,
"parallax_deg": 0.913612
}
},
"tides": {
"coefficient_0_100_approx": 100,
"regime": "syzygy",
"classification_source": "spring-neap approximation from synodic geometry"
},
"multicultural_calendars": {
"jd": 2461250.5,
"gregorian": "2026-07-29",
"julian": "2026-07-16",
"hijri": {
"year": 1448,
"month": 2,
"day": 13,
"month_name": "Safar",
"iso": "1448-02-13 AH"
},
"hebrew": {
"year": 5786,
"month": 5,
"day": 15,
"month_name": "Av",
"iso": "5786-05-15 AM"
},
"chinese": {
"year": 2026,
"is_simplified": true,
"cycle60_year": "Bǐng-Wǔ",
"stem": "Bǐng",
"branch": "Wǔ",
"zodiac": "Horse",
"lunar_month": 6,
"lunar_day": 15,
"iso": "2026 (Horse) Month 6, day 15"
}
},
"folk_names": {
"full_moon_of_month": {
"name": "Buck Moon",
"name_en": "Buck Moon",
"name_pt_br": "Lua do Cervo",
"origin": "Algonquin",
"meaning": "Bucks grow new antlers in July.",
"meaning_pt_br": "Chifres dos cervos crescem em julho.",
"season_north": "Summer",
"season_south": "Winter",
"month": 7
},
"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": 7
},
"tupi_guarani": {
"term": "Jacy guaçu",
"phase_input": "Full Moon"
}
},
"kinematics": {
"orbital_velocity_km_s": 0.9792,
"orbital_velocity_km_h": 3525,
"distance_km_used": 399461.7,
"travel_times": {
"foot": {
"vehicle": "Walking (5 km/h)",
"speed_kmh": 5,
"travel_hours": 79892.34391727443,
"travel_human": "9.1 years"
},
"bike": {
"vehicle": "By bicycle (20 km/h)",
"speed_kmh": 20,
"travel_hours": 19973.085979318606,
"travel_human": "2.3 years"
},
"car": {
"vehicle": "By car (100 km/h)",
"speed_kmh": 100,
"travel_hours": 3994.6171958637215,
"travel_human": "166.4 days"
},
"plane": {
"vehicle": "Commercial aircraft (900 km/h)",
"speed_kmh": 900,
"travel_hours": 443.84635509596905,
"travel_human": "18.5 days"
},
"concorde": {
"vehicle": "Concorde (2180 km/h)",
"speed_kmh": 2180,
"travel_hours": 183.23932091117987,
"travel_human": "7.6 days"
},
"sr71": {
"vehicle": "SR-71 Blackbird (3540 km/h)",
"speed_kmh": 3540,
"travel_hours": 112.84229366846671,
"travel_human": "4.7 days"
},
"apollo": {
"vehicle": "Apollo 11 (~5050 km/h avg)",
"speed_kmh": 5050,
"travel_hours": 79.1013306111628,
"travel_human": "3.3 days"
},
"iss": {
"vehicle": "ISS (27600 km/h)",
"speed_kmh": 27600,
"travel_hours": 14.473250709651165,
"travel_human": "14.5 h"
},
"parker": {
"vehicle": "Parker Solar Probe (635266 km/h)",
"speed_kmh": 635266,
"travel_hours": 0.6288101670581648,
"travel_human": "37.7 min"
},
"light": {
"vehicle": "Speed of light (1.08e9 km/h)",
"speed_kmh": 1079252848,
"travel_hours": 0.00037012801988582026,
"travel_human": "1.33 s"
}
},
"light_travel_seconds": 1.332500025875326,
"light_travel_seconds_baseline": 1.3325,
"light_travel_seconds_with_gr": 1.332500025875326
},
"equation_of_time": {
"minutes": -6.4967,
"total_seconds": -389.8,
"human": "−6m 30s",
"sundial_offset": 6.4967
},
"extras": {
"next_blue_moon": {
"utc_iso": "2028-12-31T16:48:08Z",
"local_iso": "2028-12-31 11:48:08",
"month": 12,
"year": 2028,
"tz": "America/New_York"
},
"next_black_moon": {
"utc_iso": "2027-08-31T17:40:56Z",
"local_iso": "2027-08-31 13:40:56",
"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": [
[
0.9999790100006273,
-0.0059424919707224645,
-0.0025819270600201598
],
[
0.005942492055507213,
0.9999823432090285,
-7.638783255084e-6
],
[
0.002581926864881917,
-7.704458125041e-6,
0.9999966667915977
]
],
"nutation_matrix_N": [
[
0.9999999989342292,
4.2359993850979e-5,
1.8362258267176e-5
],
[
-4.2359297163945e-5,
0.999999998383124,
-3.793997873397e-5
],
[
-1.8363865374752e-5,
3.7939200881187e-5,
0.9999999991116928
]
],
"npb_matrix": [
[
0.9999793078577047,
-0.005900203556531237,
-0.0025634848190236982
],
[
0.005900106464832013,
0.9999825931881505,
-4.5435731744514e-5
],
[
0.0025637082769918067,
3.0309958228675e-5,
0.9999967132351871
]
],
"state_vector_icrs": {
"position_km_x": 239407.525008,
"position_km_y": -287511.495628,
"position_km_z": -139967.289987,
"velocity_km_s_x": 0.77138184,
"velocity_km_s_y": 0.528985175,
"velocity_km_s_z": 0.321112478,
"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": 0.3,
"delta_t_arcsec_1sigma": 0.5,
"rss_total_arcsec_1sigma": 7.095994,
"distance_km_1sigma": 50
},
"de440_comparison": {
"lite_ra_deg": 309.772451,
"lite_dec_deg": -20.513944,
"lite_distance_km": 399461.72,
"de440_ra_deg": 309.778455,
"de440_dec_deg": -20.512462,
"de440_distance_km": 399461.72,
"delta_ra_arcsec": -21.6126,
"delta_dec_arcsec": -5.3354,
"delta_distance_km": 0,
"delta_total_arcsec": 22.2615,
"within_envelope": true,
"envelope_arcsec": 60,
"frame": "ICRS J2000.0"
},
"eclipse_imminence": {
"group": "solar",
"subtype": "total",
"type": "total",
"when_utc": "2026-08-12T17:46:14Z",
"magnitude": 1.0417,
"gamma": 0.8978,
"central_duration_s": 140.3,
"subpoint_lat_deg": 65.1503,
"subpoint_lon_deg": -25.1799,
"days_until": 14.074,
"l1": 0.5372,
"l2": -0.00891,
"sun_distance_au": 1.013291,
"moon_distance_km": 366974.9,
"visible_from_observer": null,
"note": "Total solar eclipse: umbra cone reaches Earth surface (mag>1)."
},
"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": "2026-07-29",
"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"
},
"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}"
},
"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]"
},
"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}"
},
"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}"
},
"earth_rotation_model": {
"value": "iers2010",
"default_used": true,
"unit": "enum",
"sanitization": "enum {iers2010, iau2000}"
},
"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}"
},
"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}"
},
"eclipse_search_window_days": {
"value": 90,
"default_used": true,
"unit": "days",
"sanitization": "clamp [1, 365]"
},
"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"
},
"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"
}
}
},
"monthly_ephemeris": [
{
"date_utc": "2026-07-29",
"ra_deg": 301.85623,
"dec_deg": -22.956216,
"distance_km": 401150.34,
"phase_pct": 99.6465,
"angular_diameter_arcmin": 0.8936
},
{
"date_utc": "2026-07-30",
"ra_deg": 314.244845,
"dec_deg": -18.990244,
"distance_km": 398549.367,
"phase_pct": 99.8515,
"angular_diameter_arcmin": 0.8994
},
{
"date_utc": "2026-07-31",
"ra_deg": 326.162598,
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"distance_km": 395585.665,
"phase_pct": 98.1094,
"angular_diameter_arcmin": 0.9062
},
{
"date_utc": "2026-08-01",
"ra_deg": 337.723745,
"dec_deg": -8.707036,
"distance_km": 392341.768,
"phase_pct": 94.4013,
"angular_diameter_arcmin": 0.9137
},
{
"date_utc": "2026-08-02",
"ra_deg": 349.117018,
"dec_deg": -2.810956,
"distance_km": 388871.723,
"phase_pct": 88.7788,
"angular_diameter_arcmin": 0.9218
},
{
"date_utc": "2026-08-03",
"ra_deg": 0.582719,
"dec_deg": 3.295299,
"distance_km": 385214.109,
"phase_pct": 81.3722,
"angular_diameter_arcmin": 0.9306
},
{
"date_utc": "2026-08-04",
"ra_deg": 12.396422,
"dec_deg": 9.372855,
"distance_km": 381412.295,
"phase_pct": 72.3989,
"angular_diameter_arcmin": 0.9399
},
{
"date_utc": "2026-08-05",
"ra_deg": 24.851485,
"dec_deg": 15.148927,
"distance_km": 377538.163,
"phase_pct": 62.1731,
"angular_diameter_arcmin": 0.9495
},
{
"date_utc": "2026-08-06",
"ra_deg": 38.224727,
"dec_deg": 20.299262,
"distance_km": 373713.947,
"phase_pct": 51.1143,
"angular_diameter_arcmin": 0.9592
},
{
"date_utc": "2026-08-07",
"ra_deg": 52.705338,
"dec_deg": 24.44196,
"distance_km": 370125.792,
"phase_pct": 39.7506,
"angular_diameter_arcmin": 0.9685
},
{
"date_utc": "2026-08-08",
"ra_deg": 68.281451,
"dec_deg": 27.164863,
"distance_km": 367022.584,
"phase_pct": 28.7066,
"angular_diameter_arcmin": 0.9767
},
{
"date_utc": "2026-08-09",
"ra_deg": 84.635475,
"dec_deg": 28.107681,
"distance_km": 364695.23,
"phase_pct": 18.6665,
"angular_diameter_arcmin": 0.9829
},
{
"date_utc": "2026-08-10",
"ra_deg": 101.168596,
"dec_deg": 27.084051,
"distance_km": 363435.731,
"phase_pct": 10.3064,
"angular_diameter_arcmin": 0.9863
},
{
"date_utc": "2026-08-11",
"ra_deg": 117.218682,
"dec_deg": 24.169707,
"distance_km": 363482.093,
"phase_pct": 4.2046,
"angular_diameter_arcmin": 0.9862
},
{
"date_utc": "2026-08-12",
"ra_deg": 132.329176,
"dec_deg": 19.684113,
"distance_km": 364962.267,
"phase_pct": 0.7524,
"angular_diameter_arcmin": 0.9822
},
{
"date_utc": "2026-08-13",
"ra_deg": 146.361511,
"dec_deg": 14.082626,
"distance_km": 367854.115,
"phase_pct": 0.0972,
"angular_diameter_arcmin": 0.9745
},
{
"date_utc": "2026-08-14",
"ra_deg": 159.430714,
"dec_deg": 7.839836,
"distance_km": 371974.914,
"phase_pct": 2.1377,
"angular_diameter_arcmin": 0.9637
},
{
"date_utc": "2026-08-15",
"ra_deg": 171.784093,
"dec_deg": 1.377534,
"distance_km": 377003.802,
"phase_pct": 6.5698,
"angular_diameter_arcmin": 0.9508
},
{
"date_utc": "2026-08-16",
"ra_deg": 183.70901,
"dec_deg": -4.959716,
"distance_km": 382529.098,
"phase_pct": 12.9625,
"angular_diameter_arcmin": 0.9371
},
{
"date_utc": "2026-08-17",
"ra_deg": 195.482983,
"dec_deg": -10.899311,
"distance_km": 388105.918,
"phase_pct": 20.8361,
"angular_diameter_arcmin": 0.9236
},
{
"date_utc": "2026-08-18",
"ra_deg": 207.348612,
"dec_deg": -16.222593,
"distance_km": 393310.159,
"phase_pct": 29.7212,
"angular_diameter_arcmin": 0.9114
},
{
"date_utc": "2026-08-19",
"ra_deg": 219.495351,
"dec_deg": -20.745491,
"distance_km": 397780.17,
"phase_pct": 39.1926,
"angular_diameter_arcmin": 0.9012
},
{
"date_utc": "2026-08-20",
"ra_deg": 232.038474,
"dec_deg": -24.305263,
"distance_km": 401243.332,
"phase_pct": 48.8801,
"angular_diameter_arcmin": 0.8934
},
{
"date_utc": "2026-08-21",
"ra_deg": 244.995963,
"dec_deg": -26.758056,
"distance_km": 403528.783,
"phase_pct": 58.4623,
"angular_diameter_arcmin": 0.8883
},
{
"date_utc": "2026-08-22",
"ra_deg": 258.275275,
"dec_deg": -27.98873,
"distance_km": 404569.074,
"phase_pct": 67.6532,
"angular_diameter_arcmin": 0.8861
},
{
"date_utc": "2026-08-23",
"ra_deg": 271.688011,
"dec_deg": -27.928929,
"distance_km": 404393.489,
"phase_pct": 76.1869,
"angular_diameter_arcmin": 0.8864
},
{
"date_utc": "2026-08-24",
"ra_deg": 285.000844,
"dec_deg": -26.573889,
"distance_km": 403115.004,
"phase_pct": 83.8041,
"angular_diameter_arcmin": 0.8893
},
{
"date_utc": "2026-08-25",
"ra_deg": 298.006629,
"dec_deg": -23.988006,
"distance_km": 400912.248,
"phase_pct": 90.2449,
"angular_diameter_arcmin": 0.8941
},
{
"date_utc": "2026-08-26",
"ra_deg": 310.582909,
"dec_deg": -20.296347,
"distance_km": 398007.46,
"phase_pct": 95.2492,
"angular_diameter_arcmin": 0.9007
},
{
"date_utc": "2026-08-27",
"ra_deg": 322.715468,
"dec_deg": -15.668189,
"distance_km": 394641.722,
"phase_pct": 98.5649,
"angular_diameter_arcmin": 0.9084
}
]
},
"shapiro_in_pipeline": true,
"shapiro_in_pipeline_meta": {
"shapiro_extra_seconds_earth": 1.2281905168777418e-10,
"shapiro_extra_ns_earth": 0.12281905168777418,
"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."
},
"input_adjustments": [],
"gr_corrections_applied": {
"shapiro_extra_delay_ns": 25.998144858023956,
"shapiro_extra_delay_s": 2.5998144858023956e-8,
"pipeline_applied": true,
"pipeline_earth_term_ns": 0.12281905168777418,
"residual_extra_ns": 25.875325806336182,
"residual_extra_s": 2.5875325806336183e-8,
"delta_distance_km": 0.007757227525032356,
"delta_distance_m": 7.757227525032357,
"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": {
"applied_to_position": false,
"status": "below_precision",
"time_since_j2000_s": 838612800,
"time_since_j2000_yr": 26.574036048368697,
"galactic_tide": {
"acceleration_m_s2": 6.782581570374105e-22,
"delta_meters": 0.00023849979143599753,
"delta_x_m": -1.3093638549836264e-5,
"delta_y_m": -0.00020818646794448225,
"delta_z_m": -0.0001156485488673152,
"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": 0.25997754031950326,
"delta_x_m": 0.15714553294982095,
"delta_y_m": -0.1861913752743406,
"delta_z_m": -0.09069936448479324,
"direction_label": "radial_along_earth_moon_line"
},
"total_magnitude_m": 0.2601591180295824,
"note": "INFORMATIONAL ONLY (not applied to the lunar position since 2026-07-17). Residual perturbation magnitudes from galactic tide (Sgr A* gradient) and lunar Yarkovsky thermal recoil under the (invalid for bound orbits) constant-acceleration extrapolation Delta r = (1/2) a (t - J2000)^2. The galactic tide is differential (Earth and Moon free-fall together, so the absolute term cancels) and both contributions sit far below the LLR detection floor; they are not part of the DE440 or ELP baseline series."
}
},
"_meta": {
"reproducibility_id_short": "lunar-20260729-0000-tzutc-lat0-lon0-ocscientificlunarenginev2.0.0-ofdate-iau1980-iau1976",
"reproducibility_id_full": "lunar-20260729-0000-tzutc-lat0-lon0-ocscientificlunarenginev2.0.0-ofdate-iau1980-iau1976",
"permalink": "https://www.ocalendario.com.br/scientific-lunar-calculator?lang=en",
"generated_at_utc": "2026-07-29T21:32:25+00:00"
},
"_inputs": {
"lang": "en"
}
}
