{ "generated_at_utc": "2026-04-30T17:52:40+00:00", "input": { "date": "2026-04-30", "time": "12:00", "lat": 39.9625, "lon": -83.0061, "alt_m": 0, "tz": "America/New_York", "observer_mode": "topocentric" }, "engine": "OCSE-Lite (truncated ELP-2000/82B + VSOP87D)", "result": { "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": 2461161.1666666665, "jd_ut1": 2461161.16666584, "jd_tai": 2461161.1670949073, "jd_tt": 2461161.167534759, "delta_t_seconds": 75.074584, "delta_t_effective_seconds": 75.074584, "delta_t_input_seconds": 69, "delta_t_mode": "auto", "ut1_minus_utc_seconds": -0.07143222222222222, "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 research-grade approximation; not intended for mission-critical navigation." }, "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": 590, "refraction_model": "bennett", "use_wgs84_parallax": false, "ephemeris_mode": "lite", "nutation_model": "iau1980", "hemisphere_override": "auto", "calendar_system": "gregorian", "display_mode": "standard", "scientific_mode": false, "with_velocity": false, "compare_de440": false, "include_monthly_ephemeris": false, "frame_mode": "of-date", "apparent_mode": "apparent", "engine_mode": "lite", "precession_model": "iau1976", "aberration_model": "annual", "light_time_correction": false }, "time": { "utc_iso": "2026-04-30T16:00:00Z", "local_iso": "2026-04-30T12:00:00-04:00", "local_sidereal_deg": 15.603596, "local_sidereal_hms": "01:02:25" }, "sun": { "ra_deg": 37.906017, "ra_hms": "02:31:37", "dec_deg": 14.914237, "dec_dms": "+14:54:51.25", "lambda_deg": 40.320293, "distance_au": 1.007308146, "distance_km": 150691153.755 }, "moon": { "ra_deg": 204.979032, "ra_hms": "13:39:55", "dec_deg": -14.608423, "dec_dms": "-14:36:30.32", "ra_mean_deg": 202.929405, "ra_mean_hms": "13:31:43", "dec_mean_deg": -9.585842, "dec_mean_dms": "-09:35:09.03", "lambda_deg": 208.448509, "lambda_mean_deg": 204.752342, "beta_deg": -3.948674, "distance_km": 399444.943, "distance_earth_radii": 62.627213, "distance_topocentric_km": 405155.639, "distance_topocentric_earth_radii": 63.522568, "angular_diameter_arcmin": 29.905, "horizontal_parallax_deg": 0.914909 }, "topocentric": { "altitude_geometric_deg": -63.761413, "altitude_apparent_deg": -63.761413, "azimuth_deg": 339.423513, "hour_angle_deg": 170.624563, "refraction_deg": 0 }, "phase": { "name": "Waxing Gibbous", "fraction_0_1": 0.46702282, "age_days": 13.791459, "elongation_deg": 167.49767, "phase_angle_deg": 12.469537, "illumination_pct": 98.820547, "bright_limb_position_angle_deg": 273.048905, "parallactic_angle_deg": 16.163498 }, "upcoming_primary_phases": [ { "phase_key": "new_moon", "phase_name": "New Moon", "target_phase_angle_deg": 0, "local_iso": "2026-05-16T16:01:37-04:00", "local_label": "16/05/2026 16:01", "utc_iso": "2026-05-16T20:01:37Z", "approx_uncertainty_minutes": 60 }, { "phase_key": "first_quarter", "phase_name": "First Quarter", "target_phase_angle_deg": 90, "local_iso": "2026-05-23T07:11:31-04:00", "local_label": "23/05/2026 07:11", "utc_iso": "2026-05-23T11:11:31Z", "approx_uncertainty_minutes": 60 }, { "phase_key": "full_moon", "phase_name": "Full Moon", "target_phase_angle_deg": 180, "local_iso": "2026-05-01T13:23:49-04:00", "local_label": "01/05/2026 13:23", "utc_iso": "2026-05-01T17:23:49Z", "approx_uncertainty_minutes": 60 }, { "phase_key": "last_quarter", "phase_name": "Last Quarter", "target_phase_angle_deg": 270, "local_iso": "2026-05-09T17:10:52-04:00", "local_label": "09/05/2026 17:10", "utc_iso": "2026-05-09T21:10:52Z", "approx_uncertainty_minutes": 60 } ], "tracking_rates": { "interval_seconds": 60, "dra_deg_per_min": 0.008007512, "ddec_deg_per_min": -0.003504312, "dalt_deg_per_min": -0.067006159, "daz_deg_per_min": 0.501801827, "dra_arcsec_per_sec": 0.480450697, "ddec_arcsec_per_sec": -0.210258746, "dalt_arcsec_per_sec": -4.020369523, "daz_arcsec_per_sec": 30.108109596 }, "anomalistic_orbit": { "distance_km": 399444.943, "mean_anomaly_deg": 130.125052, "distance_from_perigee_km": 42944.943, "distance_from_apogee_km": 7255.057, "near_perigee_pct": 14.452304, "near_apogee_pct": 85.547696, "orbital_trend": "receding_from_perigee", "position_label": "toward_apogee", "supermoon_candidate": false, "perigee_reference_km": 356500, "apogee_reference_km": 406700 }, "orientation": { "colongitude_deg": 258.128217, "libration_longitude_deg_approx": 4.328546, "libration_latitude_deg_approx": -3.865457, "subsolar_lon_deg_approx": -11.871783, "subsolar_lat_deg_approx": 3.948674, "subobserver_lon_deg_approx": 168.128217, "subobserver_lat_deg_approx": 1.974337 }, "apparent_corrections": { "nutation_longitude_deg": 0.001548243, "nutation_obliquity_deg": 0.002358519, "annual_aberration_longitude_deg": -0.005650318, "true_obliquity_deg": 23.438225938 }, "events": { "moonrise_local": "19:50:32", "moonset_local": "05:38:11", "transit_local": "00:13:18", "transit_altitude_deg": 37.268453, "transit_local_sidereal_deg": 198.444874, "transit_local_sidereal_hms": "13:13:47", "event_timezone": "America/New_York", "rise_set_status": "normal", "rise_set_method": "adaptive-scan+binary-root", "horizon_threshold_deg": 0.099001, "horizon_components": { "disc_mode": "upper_limb", "semi_diameter_deg": 0.249208, "dip_deg": 0, "refraction_deg": 0.5667, "parallax_deg": 0.914909 } }, "tides": { "coefficient_0_100_approx": 99, "regime": "syzygy", "classification_source": "spring-neap approximation from synodic geometry" }, "multicultural_calendars": { "jd": 2461160.5, "gregorian": "2026-04-30", "julian": "2026-04-17", "hijri": { "year": 1447, "month": 11, "day": 13, "month_name": "Dhū al-Qaʿdah", "iso": "1447-11-13 AH" }, "hebrew": { "year": 5786, "month": 2, "day": 13, "month_name": "Iyar", "iso": "5786-02-13 AM" }, "chinese": { "year": 2026, "is_simplified": true, "cycle60_year": "Bǐng-Wǔ", "stem": "Bǐng", "branch": "Wǔ", "zodiac": "Horse", "lunar_month": 3, "lunar_day": 13, "iso": "2026 (Horse) Month 3, day 13" } }, "folk_names": { "full_moon_of_month": { "name": "Pink Moon", "name_en": "Pink Moon", "name_pt_br": "Lua Rosa", "origin": "Algonquin", "meaning": "Bloom of moss-phlox (pink) in North America.", "meaning_pt_br": "Floração das phlox-musgo (rosa) na América do Norte.", "season_north": "Spring", "season_south": "Autumn", "month": 4 }, "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": 4 }, "tupi_guarani": { "term": "Jacy", "phase_input": "Waxing Gibbous" } }, "kinematics": { "orbital_velocity_km_s": 0.9792, "orbital_velocity_km_h": 3525.1, "distance_km_used": 399444.9, "travel_times": { "foot": { "vehicle": "Walking (5 km/h)", "speed_kmh": 5, "travel_hours": 79888.98864723071, "travel_human": "9.1 years" }, "bike": { "vehicle": "By bicycle (20 km/h)", "speed_kmh": 20, "travel_hours": 19972.247161807678, "travel_human": "2.3 years" }, "car": { "vehicle": "By car (100 km/h)", "speed_kmh": 100, "travel_hours": 3994.449432361536, "travel_human": "166.4 days" }, "plane": { "vehicle": "Commercial aircraft (900 km/h)", "speed_kmh": 900, "travel_hours": 443.8277147068373, "travel_human": "18.5 days" }, "concorde": { "vehicle": "Concorde (2180 km/h)", "speed_kmh": 2180, "travel_hours": 183.23162533768513, "travel_human": "7.6 days" }, "sr71": { "vehicle": "SR-71 Blackbird (3540 km/h)", "speed_kmh": 3540, "travel_hours": 112.83755458648406, "travel_human": "4.7 days" }, "apollo": { "vehicle": "Apollo 11 (~5050 km/h avg)", "speed_kmh": 5050, "travel_hours": 79.09800856161456, "travel_human": "3.3 days" }, "iss": { "vehicle": "ISS (27600 km/h)", "speed_kmh": 27600, "travel_hours": 14.472642870875129, "travel_human": "14.5 h" }, "parker": { "vehicle": "Parker Solar Probe (635266 km/h)", "speed_kmh": 635266, "travel_hours": 0.6287837586714126, "travel_human": "37.7 min" }, "light": { "vehicle": "Speed of light (1.08e9 km/h)", "speed_kmh": 1079252848, "travel_hours": 0.00037011247547447156, "travel_human": "1.33 s" } }, "light_travel_seconds": 1.3324 }, "equation_of_time": { "minutes": 2.8252, "total_seconds": 169.51, "human": "+2m 50s", "sundial_offset": -2.8252 }, "extras": { "next_blue_moon": { "utc_iso": "2026-05-31T08:45:22Z", "local_iso": "2026-05-31 04:45:22", "month": 5, "year": 2026, "tz": "America/New_York" }, "next_black_moon": { "utc_iso": "2027-08-31T17:41:10Z", "local_iso": "2027-08-31 13:41:10", "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 }, "derived": { "lunation_brown": 1278, "libration": { "longitude_deg": 3.6253101561986796, "latitude_deg": 5.173742136608933, "total_deg": 6.317474291578879, "axis_position_angle_deg": 20.24598227819626 }, "apparent_magnitude": -12.304892697076133, "earthshine_pct": 0, "bright_limb_angle_deg": 273.04890473314003, "phase_angle_deg": 12.469537, "distance_km": 405155.639 }, "upcoming": { "phases": [ { "name": "Full Moon", "utc_iso": "2026-05-01T17:23:07Z", "days_until": 1, "fraction_target": 0.5 }, { "name": "Last Quarter", "utc_iso": "2026-05-09T21:10:42Z", "days_until": 9, "fraction_target": 0.75 }, { "name": "New Moon", "utc_iso": "2026-05-16T20:01:33Z", "days_until": 16, "fraction_target": 0 }, { "name": "First Quarter", "utc_iso": "2026-05-23T11:11:10Z", "days_until": 22, "fraction_target": 0.25 } ], "apsides": [ { "type": "apogee", "utc_iso": "2026-05-04T22:29:27Z", "days_until": 4, "distance_km": 405843.5, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-05-17T13:46:26Z", "days_until": 16, "distance_km": 358076.8, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-06-01T04:32:49Z", "days_until": 31, "distance_km": 406365.4, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-06-14T23:19:59Z", "days_until": 45, "distance_km": 357199, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-06-28T07:07:58Z", "days_until": 58, "distance_km": 406263.1, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-07-13T07:55:07Z", "days_until": 73, "distance_km": 359114.4, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-07-25T16:45:03Z", "days_until": 86, "distance_km": 405549.9, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-08-10T11:15:14Z", "days_until": 101, "distance_km": 363285.2, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-08-22T08:22:42Z", "days_until": 113, "distance_km": 404644.4, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "perigee", "utc_iso": "2026-09-06T20:38:21Z", "days_until": 129, "distance_km": 368258.1, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-09-19T03:02:44Z", "days_until": 141, "distance_km": 404220.7, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "perigee", "utc_iso": "2026-10-01T20:58:30Z", "days_until": 154, "distance_km": 369337.3, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-10-16T22:56:33Z", "days_until": 169, "distance_km": 404641.6, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "perigee", "utc_iso": "2026-10-28T18:05:19Z", "days_until": 181, "distance_km": 364408.9, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-11-13T17:49:45Z", "days_until": 197, "distance_km": 405617.9, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-11-25T21:04:23Z", "days_until": 209, "distance_km": 359346, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2026-12-11T06:44:43Z", "days_until": 224, "distance_km": 406417, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2026-12-24T08:33:49Z", "days_until": 237, "distance_km": 356651.3, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2027-01-07T08:08:33Z", "days_until": 251, "distance_km": 406604.3, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2027-01-21T21:46:43Z", "days_until": 266, "distance_km": 357282.6, "is_super_moon_candidate": true, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2027-02-03T13:32:55Z", "days_until": 278, "distance_km": 406187.9, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2027-02-19T07:29:25Z", "days_until": 294, "distance_km": 361014.7, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2027-03-03T05:41:02Z", "days_until": 306, "distance_km": 405217, "is_super_moon_candidate": false, "is_micro_moon_candidate": true }, { "type": "perigee", "utc_iso": "2027-03-19T04:27:34Z", "days_until": 322, "distance_km": 366440.5, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2027-03-31T01:30:49Z", "days_until": 334, "distance_km": 404329.5, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "perigee", "utc_iso": "2027-04-14T00:28:05Z", "days_until": 348, "distance_km": 370006.5, "is_super_moon_candidate": false, "is_micro_moon_candidate": false }, { "type": "apogee", "utc_iso": "2027-04-27T21:18:24Z", "days_until": 362, "distance_km": 404173, "is_super_moon_candidate": false, "is_micro_moon_candidate": false } ], "special_moons": [ { "type": "micro_moon", "full_moon_utc_iso": "2026-05-31T08:45:22Z", "perigee_utc_iso": null, "apogee_utc_iso": "2026-06-01T04:32:49Z", "distance_km": 406365.4, "label": "Micromoon" }, { "type": "super_moon", "full_moon_utc_iso": "2026-12-24T01:28:23Z", "perigee_utc_iso": "2026-12-24T08:33:49Z", "apogee_utc_iso": null, "distance_km": 356651.3, "label": "Supermoon" }, { "type": "super_moon", "full_moon_utc_iso": "2027-01-22T12:17:49Z", "perigee_utc_iso": "2027-01-21T21:46:43Z", "apogee_utc_iso": null, "distance_km": 357282.6, "label": "Supermoon" }, { "type": "micro_moon", "full_moon_utc_iso": "2027-07-18T15:45:10Z", "perigee_utc_iso": null, "apogee_utc_iso": "2027-07-19T11:52:34Z", "distance_km": 406208.9, "label": "Micromoon" }, { "type": "super_moon", "full_moon_utc_iso": "2028-02-10T15:04:03Z", "perigee_utc_iso": "2028-02-10T19:53:08Z", "apogee_utc_iso": null, "distance_km": 356679.4, "label": "Supermoon" }, { "type": "super_moon", "full_moon_utc_iso": "2028-03-11T01:06:23Z", "perigee_utc_iso": "2028-03-10T08:17:53Z", "apogee_utc_iso": null, "distance_km": 357597.4, "label": "Supermoon" } ], "lunar_eclipses": [ { "utc_iso": "2026-08-28T04:18:55Z", "type": "partial", "magnitude": 0.9381, "gamma": 0.4994, "saros_series": 138, "visible_from_brazil": true, "days_until": 119 }, { "utc_iso": "2027-02-20T23:23:30Z", "type": "penumbral", "magnitude": 0.9296, "gamma": 1.054, "saros_series": 143, "visible_from_brazil": true, "days_until": 296 }, { "utc_iso": "2027-07-18T15:44:53Z", "type": "penumbral", "magnitude": 0.0012, "gamma": 1.5832, "saros_series": 148, "visible_from_brazil": false, "days_until": 443 }, { "utc_iso": "2027-08-17T07:29:13Z", "type": "penumbral", "magnitude": 0.5472, "gamma": 1.2861, "saros_series": 148, "visible_from_brazil": true, "days_until": 473 }, { "utc_iso": "2028-01-12T04:03:35Z", "type": "partial", "magnitude": 0.0719, "gamma": 0.986, "saros_series": 115, "visible_from_brazil": true, "days_until": 621 }, { "utc_iso": "2028-07-06T18:11:29Z", "type": "partial", "magnitude": 0.3971, "gamma": 0.7934, "saros_series": 120, "visible_from_brazil": false, "days_until": 798 } ], "solar_eclipses": [ { "utc_iso": "2027-02-06T15:56:28Z", "type": "partial", "magnitude": 0.4612, "gamma": 0.2955, "saros_series": 131, "visible_from_brazil": true, "days_until": 281 }, { "utc_iso": "2027-08-02T10:05:42Z", "type": "partial", "magnitude": 0.7542, "gamma": 0.1418, "saros_series": 136, "visible_from_brazil": false, "days_until": 458 }, { "utc_iso": "2028-01-26T15:13:07Z", "type": "partial", "magnitude": 0.3012, "gamma": 0.3917, "saros_series": 141, "visible_from_brazil": true, "days_until": 635 } ] }, "license": "Free for personal/academic use. Cite ocalendario.com.br" }