{"id":"vidhyamitra:city-day:mathura:1987-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1987-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-01-04","date_display":"January 4, 1987 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1987,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446799.770833,"kali_year":5088,"ahargana":1858334.2708,"sun":{"sidereal_longitude":259.2849,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":310.785,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.5001,"elapsed_within_tithi_degrees":3.5001},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.785,"elapsed_within_degrees":4.1183},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.0699},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1987,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446799.770833,"ahargana":1858334.2708,"kali_year":5088,"ayanamsa_lahiri":23.6715,"grahas":{"sun":{"sidereal_longitude":259.463213,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":313.6557130000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-3.2202},"mars":{"sidereal_longitude":333.34661300000005,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":254.519313,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":325.09741299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":213.27971300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.68411300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.5074,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":176.5074,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1987,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446799.770833,"kali_year":5088,"ahargana":1858334.2708,"sun":{"sidereal_longitude":259.2849,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":310.785,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.5001,"elapsed_within_tithi_degrees":3.5001},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.785,"elapsed_within_degrees":4.1183},"yoga":{"number":16,"name":"Siddhi","sum_longitude":210.0699},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.22,"elongation":51.5},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.22,"opposition_distance":128.5}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.455081070425734,"dayLengthDisplay":"10 Hours 27 Mins 18 Secs","nightLengthDisplay":"13 Hours 32 Mins 42 Secs","moonriseLocal":"10:17","moonsetLocal":"21:45","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"17:38","startHours":16.326140515832087,"endHours":17.633025649635304,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.712370248225653,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:20","startHours":15.01925538202887,"endHours":16.326140515832087,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.617463495642241,"endHours":9.965966197989765,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.613572957143974,"endHours":7.8923751190219935,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056982412074913,"endHours":12.75398781676996,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783933769819471,"endHours":6.4809391745145195,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.3066878233407575,"endHours":7.177944579209568,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.147998626160058,"endHours":14.845004030855108,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.433025649635304,"endHours":17.833025649635303,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.633025649635304,"endHours":18.06865402756971,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.383025649635304,"endHours":19.133025649635304,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.056982412074913,"endHours":24.75398781676996,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:29","startHours":7.177944579209568,"endHours":8.484829713012786,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"09:48","startHours":8.484829713012786,"endHours":9.791714846816003,"quality":"neutral"},{"name":"Labha","start":"09:48","end":"11:06","startHours":9.791714846816003,"endHours":11.09859998061922,"quality":"auspicious"},{"name":"Amṛta","start":"11:06","end":"12:24","startHours":11.09859998061922,"endHours":12.405485114422437,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"13:43","startHours":12.405485114422437,"endHours":13.712370248225653,"quality":"inauspicious"},{"name":"Śubha","start":"13:43","end":"15:01","startHours":13.712370248225653,"endHours":15.01925538202887,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:20","startHours":15.01925538202887,"endHours":16.326140515832087,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"17:38","startHours":16.326140515832087,"endHours":17.633025649635304,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:38","end":"19:20","startHours":17.633025649635304,"endHours":19.326140515832087,"quality":"auspicious"},{"name":"Roga","start":"19:20","end":"21:01","startHours":19.326140515832087,"endHours":21.01925538202887,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:43","startHours":21.01925538202887,"endHours":22.712370248225653,"quality":"inauspicious"},{"name":"Chala","start":"22:43","end":"00:24","startHours":22.712370248225653,"endHours":24.405485114422437,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"02:06","startHours":24.405485114422437,"endHours":26.09859998061922,"quality":"auspicious"},{"name":"Amṛta","start":"02:06","end":"03:48","startHours":26.09859998061922,"endHours":27.791714846816003,"quality":"auspicious"},{"name":"Kāla","start":"03:48","end":"05:29","startHours":27.791714846816003,"endHours":29.484829713012786,"quality":"inauspicious"},{"name":"Śubha","start":"05:29","end":"07:11","startHours":29.484829713012786,"endHours":31.17794457920957,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.177944579209568,"endHours":8.17794457920957,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.17794457920957,"endHours":9.17794457920957,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.17794457920957,"endHours":10.17794457920957,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.17794457920957,"endHours":11.17794457920957,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.17794457920957,"endHours":12.17794457920957,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.17794457920957,"endHours":13.17794457920957,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.17794457920957,"endHours":14.17794457920957,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.17794457920957,"endHours":15.17794457920957,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.17794457920957,"endHours":16.17794457920957,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17794457920957,"endHours":17.17794457920957,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17794457920957,"endHours":18.17794457920957,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17794457920957,"endHours":19.17794457920957,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17794457920957,"endHours":20.17794457920957,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17794457920957,"endHours":21.17794457920957,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17794457920957,"endHours":22.17794457920957,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17794457920957,"endHours":23.17794457920957,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17794457920957,"endHours":24.17794457920957,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17794457920957,"endHours":25.17794457920957,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17794457920957,"endHours":26.17794457920957,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17794457920957,"endHours":27.17794457920957,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17794457920957,"endHours":28.17794457920957,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17794457920957,"endHours":29.17794457920957,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17794457920957,"endHours":30.17794457920957,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17794457920957,"endHours":31.17794457920957,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.78829011604946,"eotMinutes":-5.02390686534617,"ayanamsa":23.6715}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 4, 1987 CE · Mathurā · Vidhyamitra","description":"January 4, 1987 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1987-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1987-01-04","sa":"https://sa.vidhyamitra.com/city/mathura/1987-01-04","hi":"https://hi.vidhyamitra.com/city/mathura/1987-01-04","x-default":"https://vidhyamitra.com/city/mathura/1987-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:54:40.839Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T14:54:40.839Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:54:40.839Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}