{"id":"vidhyamitra:city-day:ayodhya:-3170-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3170-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3170-01-21","date_display":"January 21, 3171 BCE","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":-3170,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563235.770833,"kali_year":-69,"ahargana":-25229.7292,"sun":{"sidereal_longitude":335.8371,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":202.6594,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.8223,"elapsed_within_tithi_degrees":10.8223},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.6594,"elapsed_within_degrees":2.6594},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.4965},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3170,"month":1,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563235.770833,"ahargana":-25229.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3678,"grahas":{"sun":{"sidereal_longitude":335.8371,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":202.6594,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":3.6454},"mars":{"sidereal_longitude":68.0509,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":351.096,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":57.5669,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":303.8567,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":242.6101,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":76.7925,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":256.7925,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3170,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563235.770833,"kali_year":-69,"ahargana":-25229.7292,"sun":{"sidereal_longitude":335.8371,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":202.6594,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.8223,"elapsed_within_tithi_degrees":10.8223},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.6594,"elapsed_within_degrees":2.6594},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.4965},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.645,"elongation":133.178},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.645,"opposition_distance":46.822}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:56","sunsetLocal":"17:29","solarNoonLocal":"12:12","dayLengthHours":10.54339731347956,"dayLengthDisplay":"10 Hours 32 Mins 36 Secs","nightLengthDisplay":"13 Hours 27 Mins 24 Secs","moonriseLocal":"20:57","moonsetLocal":"09:43","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:32","startHours":12.207328854152202,"endHours":13.525253518337149,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:15","end":"09:34","startHours":8.253554861597369,"endHours":9.571479525782312,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:12","startHours":10.889404189967259,"endHours":12.207328854152202,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.39575623722432,"endHours":9.747202814340305,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.374938418807405,"endHours":7.656095680500194,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:34","startHours":11.855882277036217,"endHours":12.558775431268186,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.529843888948482,"endHours":6.232737043180452,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:56","startHours":6.05701375462246,"endHours":6.935630197412423,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.96456173973213,"endHours":14.6674548939641,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.279027510891982,"endHours":17.67902751089198,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.47902751089198,"endHours":17.918335732286963,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.22902751089198,"endHours":18.97902751089198,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:34","startHours":23.855882277036216,"endHours":24.558775431268188,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:56","end":"08:15","startHours":6.935630197412423,"endHours":8.253554861597369,"quality":"auspicious"},{"name":"Amṛta","start":"08:15","end":"09:34","startHours":8.253554861597369,"endHours":9.571479525782312,"quality":"auspicious"},{"name":"Kāla","start":"09:34","end":"10:53","startHours":9.571479525782312,"endHours":10.889404189967259,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:12","startHours":10.889404189967259,"endHours":12.207328854152202,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:32","startHours":12.207328854152202,"endHours":13.525253518337149,"quality":"inauspicious"},{"name":"Udveg","start":"13:32","end":"14:51","startHours":13.525253518337149,"endHours":14.843178182522092,"quality":"inauspicious"},{"name":"Chala","start":"14:51","end":"16:10","startHours":14.843178182522092,"endHours":16.16110284670704,"quality":"neutral"},{"name":"Labha","start":"16:10","end":"17:29","startHours":16.16110284670704,"endHours":17.47902751089198,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:10","startHours":17.47902751089198,"endHours":19.16110284670704,"quality":"inauspicious"},{"name":"Chala","start":"19:10","end":"20:51","startHours":19.16110284670704,"endHours":20.84317818252209,"quality":"neutral"},{"name":"Labha","start":"20:51","end":"22:32","startHours":20.84317818252209,"endHours":22.525253518337145,"quality":"auspicious"},{"name":"Amṛta","start":"22:32","end":"00:12","startHours":22.525253518337145,"endHours":24.207328854152202,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:53","startHours":24.207328854152202,"endHours":25.88940418996726,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:34","startHours":25.88940418996726,"endHours":27.571479525782312,"quality":"auspicious"},{"name":"Roga","start":"03:34","end":"05:15","startHours":27.571479525782312,"endHours":29.253554861597365,"quality":"inauspicious"},{"name":"Udveg","start":"05:15","end":"06:56","startHours":29.253554861597365,"endHours":30.935630197412422,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.935630197412423,"endHours":7.935630197412423,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.935630197412423,"endHours":8.935630197412422,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.935630197412422,"endHours":9.935630197412422,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.935630197412422,"endHours":10.935630197412422,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.935630197412422,"endHours":11.935630197412422,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.935630197412422,"endHours":12.935630197412422,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.935630197412422,"endHours":13.935630197412422,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.935630197412422,"endHours":14.935630197412422,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.935630197412422,"endHours":15.935630197412422,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.935630197412422,"endHours":16.935630197412422,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.935630197412422,"endHours":17.935630197412422,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.935630197412422,"endHours":18.935630197412422,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.935630197412422,"endHours":19.935630197412422,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.935630197412422,"endHours":20.935630197412422,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.935630197412422,"endHours":21.935630197412422,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.935630197412422,"endHours":22.935630197412422,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.935630197412422,"endHours":23.935630197412422,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.935630197412422,"endHours":24.935630197412422,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.935630197412422,"endHours":25.935630197412422,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.935630197412422,"endHours":26.935630197412422,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.935630197412422,"endHours":27.935630197412422,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.935630197412422,"endHours":28.935630197412422,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.935630197412422,"endHours":29.935630197412422,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.935630197412422,"endHours":30.935630197412422,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.29579271608074,"eotMinutes":-11.255731249132124,"ayanamsa":-48.3678}},"calendars":{"vikram_samvat":-3113,"saka_samvat":-3248,"bengali_samvat":-3763,"malayalam_era":-3994,"nanakshahi_year":-4639,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Caturthī · Vikram -3113 undefined · Śaka -3248 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":true,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 21, 3171 BCE · Ayodhyā · Vidhyamitra","description":"January 21, 3171 BCE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 06:56, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3170-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3170-01-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3170-01-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3170-01-21","x-default":"https://vidhyamitra.com/city/ayodhya/-3170-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:47:19.523Z","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":"2026-05-31T12:47:19.523Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:47:19.523Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}