Calculadora Lunar

{
    "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": 2461145.1666666665,
            "jd_ut1": 2461145.1666666665,
            "jd_tai": 2461145.1670949073,
            "jd_tt": 2461145.1675355854,
            "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,
            "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": 760,
        "pressure_hpa": 1013.25,
        "temperature_c": 20,
        "humidity_pct": 60,
        "timezone": "-04:00",
        "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
    },
    "time": {
        "utc_iso": "2026-04-14T16:00:00Z",
        "local_iso": "2026-04-14T12:00:00-04:00",
        "local_sidereal_deg": 359.833536,
        "local_sidereal_hms": "23:59:20"
    },
    "sun": {
        "ra_deg": 22.901423,
        "ra_hms": "01:31:36",
        "dec_deg": 9.576038,
        "dec_dms": "+09:34:33.74",
        "lambda_deg": 24.723077,
        "distance_au": 1.003014655,
        "distance_km": 150048856.718
    },
    "moon": {
        "ra_deg": 348.183162,
        "ra_hms": "23:12:44",
        "dec_deg": -4.130134,
        "dec_dms": "-04:07:48.48",
        "ra_mean_deg": 348.186749,
        "ra_mean_hms": "23:12:45",
        "dec_mean_deg": -4.128043,
        "dec_mean_dms": "-04:07:40.96",
        "lambda_deg": 347.521616,
        "lambda_mean_deg": 347.52569,
        "beta_deg": 0.86888,
        "distance_km": 376483.653,
        "distance_earth_radii": 59.027213,
        "distance_topocentric_km": 372030.397,
        "distance_topocentric_earth_radii": 58.329007,
        "angular_diameter_arcmin": 31.7289,
        "horizontal_parallax_deg": 0.970714
    },
    "topocentric": {
        "altitude_geometric_deg": 43.934241,
        "altitude_apparent_deg": 43.951022,
        "azimuth_deg": 196.439226,
        "hour_angle_deg": 11.650374,
        "refraction_deg": 0.01678
    },
    "phase": {
        "name": "Lua Minguante",
        "fraction_0_1": 0.89666261,
        "age_days": 26.478975,
        "elongation_deg": 37.210141,
        "phase_angle_deg": 142.702748,
        "illumination_pct": 10.224873,
        "bright_limb_position_angle_deg": 68.228789,
        "parallactic_angle_deg": 12.560651
    },
    "upcoming_primary_phases": [
        {
            "phase_key": "new_moon",
            "phase_name": "Lua Nova",
            "target_phase_angle_deg": 0,
            "local_iso": "2026-04-17T07:06:36-04:00",
            "local_label": "17/04/2026 07:06",
            "utc_iso": "2026-04-17T11:06:36Z",
            "approx_uncertainty_minutes": 60
        },
        {
            "phase_key": "first_quarter",
            "phase_name": "Quarto Crescente",
            "target_phase_angle_deg": 90,
            "local_iso": "2026-04-23T22:13:01-04:00",
            "local_label": "23/04/2026 22:13",
            "utc_iso": "2026-04-24T02:13:01Z",
            "approx_uncertainty_minutes": 60
        },
        {
            "phase_key": "full_moon",
            "phase_name": "Lua Cheia",
            "target_phase_angle_deg": 180,
            "local_iso": "2026-05-01T13:11:07-04:00",
            "local_label": "01/05/2026 13:11",
            "utc_iso": "2026-05-01T17:11:07Z",
            "approx_uncertainty_minutes": 60
        },
        {
            "phase_key": "last_quarter",
            "phase_name": "Quarto Minguante",
            "target_phase_angle_deg": 270,
            "local_iso": "2026-05-09T17:35:37-04:00",
            "local_label": "09/05/2026 17:35",
            "utc_iso": "2026-05-09T21:35:37Z",
            "approx_uncertainty_minutes": 60
        }
    ],
    "tracking_rates": {
        "interval_seconds": 60,
        "dra_deg_per_min": 0.008497182,
        "ddec_deg_per_min": 0.00450075,
        "dalt_deg_per_min": -0.049215045,
        "daz_deg_per_min": 0.332367301,
        "dra_arcsec_per_sec": 0.50983094,
        "ddec_arcsec_per_sec": 0.270044993,
        "dalt_arcsec_per_sec": -2.952902699,
        "daz_arcsec_per_sec": 19.942038074
    },
    "anomalistic_orbit": {
        "distance_km": 376483.653,
        "mean_anomaly_deg": 281.085174,
        "distance_from_perigee_km": 19983.653,
        "distance_from_apogee_km": 30216.347,
        "near_perigee_pct": 60.191926,
        "near_apogee_pct": 39.808074,
        "orbital_trend": "aproximando_do_perigeu",
        "position_label": "em_direcao_ao_perigeu",
        "supermoon_candidate": false,
        "perigee_reference_km": 356500,
        "apogee_reference_km": 406700
    },
    "orientation": {
        "colongitude_deg": 52.798539,
        "libration_longitude_deg_approx": -5.713385,
        "libration_latitude_deg_approx": 1.520711,
        "subsolar_lon_deg_approx": 142.798539,
        "subsolar_lat_deg_approx": -0.86888,
        "subobserver_lon_deg_approx": -37.201461,
        "subobserver_lat_deg_approx": -0.43444
    },
    "apparent_corrections": {
        "nutation_longitude_deg": 0.001600023,
        "nutation_obliquity_deg": 0.002467371,
        "annual_aberration_longitude_deg": -0.005674504,
        "true_obliquity_deg": 23.438340487
    },
    "events": {
        "moonrise_local": "05:20:41",
        "moonset_local": "17:14:17",
        "transit_local": "11:15:54",
        "transit_altitude_deg": 45.038502,
        "transit_local_sidereal_deg": 348.778351,
        "transit_local_sidereal_hms": "23:15:07",
        "event_timezone": "-04:00",
        "rise_set_status": "normal",
        "rise_set_method": "adaptive-scan+binary-root",
        "horizon_threshold_deg": -0.668023,
        "horizon_components": {
            "disc_mode": "upper_limb",
            "semi_diameter_deg": 0.264407,
            "dip_deg": 0.807745,
            "refraction_deg": 0.5667,
            "parallax_deg": 0.970829
        }
    },
    "tides": {
        "coefficient_0_100_approx": 89,
        "regime": "sizigia",
        "classification_source": "spring-neap approximation from synodic geometry"
    }
}