{"id":"vidhyamitra:city-day:vrindavan:2146-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2146-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2146-01-03","date_display":"January 3, 2146 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":2146,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504872.770833,"kali_year":5247,"ahargana":1916407.2708,"sun":{"sidereal_longitude":256.0543,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":133.7468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.6925,"elapsed_within_tithi_degrees":9.6925},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":133.7468,"elapsed_within_degrees":0.4135},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.8011},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2146,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2504872.770833,"ahargana":1916407.2708,"kali_year":5247,"ayanamsa_lahiri":25.8926,"grahas":{"sun":{"sidereal_longitude":256.633697,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":131.04189699999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-1.955},"mars":{"sidereal_longitude":210.97659699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":262.50079700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":132.58599700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":262.796697,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":358.400297,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":159.5204,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":339.5204,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":2146,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504872.770833,"kali_year":5247,"ahargana":1916407.2708,"sun":{"sidereal_longitude":256.0543,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":133.7468,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.6925,"elapsed_within_tithi_degrees":9.6925},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":133.7468,"elapsed_within_degrees":0.4135},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.8011},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.955,"elongation":122.307},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.955,"opposition_distance":57.693}},"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":10.445076296001467,"dayLengthDisplay":"10 Hours 26 Mins 42 Secs","nightLengthDisplay":"13 Hours 33 Mins 18 Secs","moonriseLocal":"21:40","moonsetLocal":"10:23","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:47","startHours":8.482300069510417,"endHours":9.7879346065106,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:24","startHours":11.093569143510784,"endHours":12.399203680510968,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:42","end":"15:01","startHours":13.704838217511151,"endHours":15.010472754511333,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.613850001577243,"endHours":9.962019211443959,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.611877044843628,"endHours":7.890412412737001,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.051034470644252,"endHours":12.747372890377685,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783988693043372,"endHours":6.480327112776803,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.306242507843445,"endHours":7.176665532510234,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.140049729844545,"endHours":14.836388149577976,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.421741828511703,"endHours":17.8217418285117,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.621741828511702,"endHours":18.056953340845098,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.371741828511702,"endHours":19.121741828511702,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.051034470644254,"endHours":24.747372890377683,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:29","startHours":7.176665532510234,"endHours":8.482300069510417,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:47","startHours":8.482300069510417,"endHours":9.7879346065106,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:06","startHours":9.7879346065106,"endHours":11.093569143510784,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:24","startHours":11.093569143510784,"endHours":12.399203680510968,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:42","startHours":12.399203680510968,"endHours":13.704838217511151,"quality":"inauspicious"},{"name":"Chala","start":"13:42","end":"15:01","startHours":13.704838217511151,"endHours":15.010472754511333,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.010472754511333,"endHours":16.316107291511518,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.316107291511518,"endHours":17.621741828511702,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.621741828511702,"endHours":19.316107291511518,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.316107291511518,"endHours":21.010472754511333,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:42","startHours":21.010472754511333,"endHours":22.704838217511153,"quality":"auspicious"},{"name":"Kāla","start":"22:42","end":"00:24","startHours":22.704838217511153,"endHours":24.39920368051097,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:06","startHours":24.39920368051097,"endHours":26.093569143510784,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:47","startHours":26.093569143510784,"endHours":27.787934606510603,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:29","startHours":27.787934606510603,"endHours":29.48230006951042,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:11","startHours":29.48230006951042,"endHours":31.176665532510235,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.176665532510234,"endHours":8.176665532510235,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.176665532510235,"endHours":9.176665532510235,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.176665532510235,"endHours":10.176665532510235,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.176665532510235,"endHours":11.176665532510235,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.176665532510235,"endHours":12.176665532510235,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.176665532510235,"endHours":13.176665532510235,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.176665532510235,"endHours":14.176665532510235,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.176665532510235,"endHours":15.176665532510235,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.176665532510235,"endHours":16.176665532510235,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.176665532510235,"endHours":17.176665532510235,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.176665532510235,"endHours":18.176665532510235,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.176665532510235,"endHours":19.176665532510235,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.176665532510235,"endHours":20.176665532510235,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.176665532510235,"endHours":21.176665532510235,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.176665532510235,"endHours":22.176665532510235,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.176665532510235,"endHours":23.176665532510235,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.176665532510235,"endHours":24.176665532510235,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.176665532510235,"endHours":25.176665532510235,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.176665532510235,"endHours":26.176665532510235,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.176665532510235,"endHours":27.176665532510235,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.176665532510235,"endHours":28.176665532510235,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.176665532510235,"endHours":29.176665532510235,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.176665532510235,"endHours":30.176665532510235,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.176665532510235,"endHours":31.176665532510235,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","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":-22.84658951420625,"eotMinutes":-4.589420830658165,"ayanamsa":25.8926}},"calendars":{"vikram_samvat":2203,"vikram_samvatsara":"Siddhārthī","saka_samvat":2068,"saka_samvatsara":"Parābhava","bengali_samvat":1553,"malayalam_era":1322,"nanakshahi_year":677,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Pañcamī · Vikram 2203 Siddhārthī · Śaka 2068 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2146 CE · Vṛndāvana · Vidhyamitra","description":"January 3, 2146 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 07:11, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2146-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2146-01-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/2146-01-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/2146-01-03","x-default":"https://vidhyamitra.com/city/vrindavan/2146-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:14:10.749Z","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":"2026-05-31T15:14:10.749Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:14:10.749Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}