{"id":"vidhyamitra:city-day:ayodhya:-3164-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/-3164-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-21","date_display":"December 21, 3165 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3164,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565761.770833,"kali_year":-62,"ahargana":-22703.7292,"sun":{"sidereal_longitude":304.9028,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":12.7147,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.8119,"elapsed_within_tithi_degrees":7.8119},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7147,"elapsed_within_degrees":12.7147},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.6175},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3164,"month":12,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565761.770833,"ahargana":-22703.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2711,"grahas":{"sun":{"sidereal_longitude":304.9028,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":12.7147,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":4.2217},"mars":{"sidereal_longitude":330.5297,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":306.5029,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":274.3315,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":321.6241,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":310.8128,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.9528,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.9528,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3164,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565761.770833,"kali_year":-62,"ahargana":-22703.7292,"sun":{"sidereal_longitude":304.9028,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":12.7147,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.8119,"elapsed_within_tithi_degrees":7.8119},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7147,"elapsed_within_degrees":12.7147},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.6175},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.222,"elongation":67.812},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.222,"opposition_distance":112.188}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"06:45","sunsetLocal":"17:15","solarNoonLocal":"12:00","dayLengthHours":10.506107879275401,"dayLengthDisplay":"10 Hours 30 Mins 22 Secs","nightLengthDisplay":"13 Hours 29 Mins 38 Secs","moonriseLocal":"10:56","moonsetLocal":"22:06","rahuKala":{"name":"Rāhu Kāla","start":"14:37","end":"15:56","startHours":14.623216479703148,"endHours":15.936479964612573,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:22","end":"10:41","startHours":9.370162540065447,"endHours":10.683426024974873,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:00","end":"13:19","startHours":11.996689509884298,"endHours":13.309952994793722,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:33","startHours":9.195060742077523,"endHours":9.545264338053371,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:11","end":"07:28","startHours":7.181390065216405,"endHours":7.461552941997082,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:21","startHours":11.64648591390845,"endHours":12.346893105860143,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:21","end":"06:03","startHours":5.34282118634321,"endHours":6.043228378294904,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.86812658030698,"endHours":6.743635570246597,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:27","startHours":13.747707489763531,"endHours":14.448114681715225,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.049743449521998,"endHours":17.449743449521996,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:41","startHours":17.249743449521997,"endHours":17.687497944491806,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":16.999743449521997,"endHours":18.749743449521997,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:21","startHours":23.646485913908453,"endHours":24.346893105860143,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:45","end":"08:03","startHours":6.743635570246597,"endHours":8.056899055156022,"quality":"inauspicious"},{"name":"Udveg","start":"08:03","end":"09:22","startHours":8.056899055156022,"endHours":9.370162540065447,"quality":"inauspicious"},{"name":"Chala","start":"09:22","end":"10:41","startHours":9.370162540065447,"endHours":10.683426024974873,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:00","startHours":10.683426024974873,"endHours":11.996689509884298,"quality":"auspicious"},{"name":"Amṛta","start":"12:00","end":"13:19","startHours":11.996689509884298,"endHours":13.309952994793722,"quality":"auspicious"},{"name":"Kāla","start":"13:19","end":"14:37","startHours":13.309952994793722,"endHours":14.623216479703148,"quality":"inauspicious"},{"name":"Śubha","start":"14:37","end":"15:56","startHours":14.623216479703148,"endHours":15.936479964612573,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:15","startHours":15.936479964612573,"endHours":17.249743449521997,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:15","end":"18:56","startHours":17.249743449521997,"endHours":18.936479964612573,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:37","startHours":18.936479964612573,"endHours":20.623216479703146,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"22:19","startHours":20.623216479703146,"endHours":22.309952994793722,"quality":"inauspicious"},{"name":"Udveg","start":"22:19","end":"00:00","startHours":22.309952994793722,"endHours":23.9966895098843,"quality":"inauspicious"},{"name":"Chala","start":"00:00","end":"01:41","startHours":23.9966895098843,"endHours":25.68342602497487,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"03:22","startHours":25.68342602497487,"endHours":27.370162540065447,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"05:03","startHours":27.370162540065447,"endHours":29.056899055156023,"quality":"auspicious"},{"name":"Kāla","start":"05:03","end":"06:45","startHours":29.056899055156023,"endHours":30.743635570246596,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.743635570246597,"endHours":7.743635570246597,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.743635570246597,"endHours":8.743635570246596,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.743635570246596,"endHours":9.743635570246596,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.743635570246596,"endHours":10.743635570246596,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.743635570246596,"endHours":11.743635570246596,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.743635570246596,"endHours":12.743635570246596,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.743635570246596,"endHours":13.743635570246596,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.743635570246596,"endHours":14.743635570246596,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.743635570246596,"endHours":15.743635570246596,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.743635570246596,"endHours":16.743635570246596,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.743635570246596,"endHours":17.743635570246596,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.743635570246596,"endHours":18.743635570246596,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.743635570246596,"endHours":19.743635570246596,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.743635570246596,"endHours":20.743635570246596,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.743635570246596,"endHours":21.743635570246596,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.743635570246596,"endHours":22.743635570246596,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.743635570246596,"endHours":23.743635570246596,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.743635570246596,"endHours":24.743635570246596,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.743635570246596,"endHours":25.743635570246596,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.743635570246596,"endHours":26.743635570246596,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.743635570246596,"endHours":27.743635570246596,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.743635570246596,"endHours":28.743635570246596,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.743635570246596,"endHours":29.743635570246596,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.743635570246596,"endHours":30.743635570246596,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.76519273533614,"eotMinutes":1.382629406942221,"ayanamsa":-48.2711}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Ṣaṣṭhī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 December 21, 3165 BCE · Ayodhyā · Vidhyamitra","description":"December 21, 3165 BCE for Ayodhyā: Śukla Ṣaṣṭhī, sūryodaya 06:45, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/-3164-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/-3164-12-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/-3164-12-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/-3164-12-21","x-default":"https://vidhyamitra.com/city/ayodhya/-3164-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T19:39:33.139Z","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":"2026-09-07T19:39:33.139Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T19:39:33.139Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}