{"id":"vidhyamitra:city-day:vrindavan:1987-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1987-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-01-03","date_display":"January 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446798.770833,"ahargana":1858333.2708,"kali_year":5088,"ayanamsa_lahiri":23.6715,"grahas":{"sun":{"sidereal_longitude":258.443851,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":299.338851,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-3.8826},"mars":{"sidereal_longitude":332.647651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":252.93285100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.93465100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":212.366351,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.57415100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.5604,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":176.5604,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.883,"elongation":38.647},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.883,"opposition_distance":141.353}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.44194641399644,"dayLengthDisplay":"10 Hours 26 Mins 31 Secs","nightLengthDisplay":"13 Hours 33 Mins 29 Secs","moonriseLocal":"09:34","moonsetLocal":"20:41","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:06","startHours":9.78871707701186,"endHours":11.093960378761414,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:42","end":"15:01","startHours":13.704446982260524,"endHours":15.00969028401008,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:29","startHours":7.178230473512749,"endHours":8.483473775262304,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.614684636778584,"endHours":9.962749517245133,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.613311574095934,"endHours":7.891763478469172,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.05113880004442,"endHours":12.747268560977517,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.785970951646557,"endHours":6.482100712579653,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.308068272346379,"endHours":7.178230473512749,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139528082843709,"endHours":14.835657843776804,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42017688750919,"endHours":17.820176887509188,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.62017688750919,"endHours":18.055257988092375,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37017688750919,"endHours":19.12017688750919,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.05113880004442,"endHours":24.747268560977517,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:29","startHours":7.178230473512749,"endHours":8.483473775262304,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:47","startHours":8.483473775262304,"endHours":9.78871707701186,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:06","startHours":9.78871707701186,"endHours":11.093960378761414,"quality":"inauspicious"},{"name":"Udveg","start":"11:06","end":"12:24","startHours":11.093960378761414,"endHours":12.399203680510968,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"13:42","startHours":12.399203680510968,"endHours":13.704446982260524,"quality":"neutral"},{"name":"Labha","start":"13:42","end":"15:01","startHours":13.704446982260524,"endHours":15.00969028401008,"quality":"auspicious"},{"name":"Amṛta","start":"15:01","end":"16:19","startHours":15.00969028401008,"endHours":16.314933585759633,"quality":"auspicious"},{"name":"Kāla","start":"16:19","end":"17:37","startHours":16.314933585759633,"endHours":17.62017688750919,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:19","startHours":17.62017688750919,"endHours":19.314933585759633,"quality":"auspicious"},{"name":"Amṛta","start":"19:19","end":"21:01","startHours":19.314933585759633,"endHours":21.009690284010077,"quality":"auspicious"},{"name":"Kāla","start":"21:01","end":"22:42","startHours":21.009690284010077,"endHours":22.704446982260524,"quality":"inauspicious"},{"name":"Śubha","start":"22:42","end":"00:24","startHours":22.704446982260524,"endHours":24.39920368051097,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"02:06","startHours":24.39920368051097,"endHours":26.093960378761412,"quality":"inauspicious"},{"name":"Udveg","start":"02:06","end":"03:47","startHours":26.093960378761412,"endHours":27.78871707701186,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:29","startHours":27.78871707701186,"endHours":29.483473775262304,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:11","startHours":29.483473775262304,"endHours":31.17823047351275,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.178230473512749,"endHours":8.178230473512748,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.178230473512748,"endHours":9.178230473512748,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.178230473512748,"endHours":10.178230473512748,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.178230473512748,"endHours":11.178230473512748,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.178230473512748,"endHours":12.178230473512748,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.178230473512748,"endHours":13.178230473512748,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.178230473512748,"endHours":14.178230473512748,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.178230473512748,"endHours":15.178230473512748,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.178230473512748,"endHours":16.17823047351275,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17823047351275,"endHours":17.17823047351275,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17823047351275,"endHours":18.17823047351275,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17823047351275,"endHours":19.17823047351275,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17823047351275,"endHours":20.17823047351275,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17823047351275,"endHours":21.17823047351275,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17823047351275,"endHours":22.17823047351275,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17823047351275,"endHours":23.17823047351275,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17823047351275,"endHours":24.17823047351275,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17823047351275,"endHours":25.17823047351275,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17823047351275,"endHours":26.17823047351275,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17823047351275,"endHours":27.17823047351275,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17823047351275,"endHours":28.17823047351275,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17823047351275,"endHours":29.17823047351275,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17823047351275,"endHours":30.17823047351275,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17823047351275,"endHours":31.17823047351275,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.884440950032452,"eotMinutes":-4.589420830658165,"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 1987 CE · Vṛndāvana · Vidhyamitra","description":"January 3, 1987 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:11, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1987-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1987-01-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/1987-01-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/1987-01-03","x-default":"https://vidhyamitra.com/city/vrindavan/1987-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:06:46.290Z","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":"2026-06-02T13:06:46.290Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:06:46.290Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}