{"id":"vidhyamitra:city-day:lucknow:-3137-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/lucknow/-3137-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-20","date_display":"December 20, 3138 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":-3137,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575621.770833,"kali_year":-35,"ahargana":-12843.7292,"sun":{"sidereal_longitude":302.8881,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":331.1503,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.2623,"elapsed_within_tithi_degrees":4.2623},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.1503,"elapsed_within_degrees":11.1503},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.0384},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":-3137,"month":12,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575621.770833,"ahargana":-12843.7292,"kali_year":-35,"ayanamsa_lahiri":-47.894,"grahas":{"sun":{"sidereal_longitude":302.8881,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":331.1503,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-0.8291},"mars":{"sidereal_longitude":104.1665,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":312.1323,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":5.2572,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":302.4576,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":284.9948,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.5226,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.5226,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575621.770833,"kali_year":-35,"ahargana":-12843.7292,"sun":{"sidereal_longitude":302.8881,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":331.1503,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.2623,"elapsed_within_tithi_degrees":4.2623},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.1503,"elapsed_within_degrees":11.1503},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.0384},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.829,"elongation":28.262},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.829,"opposition_distance":151.738}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"city":{"slug":"lucknow","name":"Lucknow, Uttar Pradesh","lat":26.8467,"lon":80.9462,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"lucknow","name":"Lucknow, Uttar Pradesh","lat":26.8467,"lon":80.9462,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"06:49","sunsetLocal":"17:20","solarNoonLocal":"12:04","dayLengthHours":10.51655537267121,"dayLengthDisplay":"10 Hours 31 Mins 00 Secs","nightLengthDisplay":"13 Hours 29 Mins 00 Secs","moonriseLocal":"08:44","moonsetLocal":"19:11","rahuKala":{"name":"Rāhu Kāla","start":"09:27","end":"10:45","startHours":9.443582531457718,"endHours":10.75815195304162,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:23","end":"14:42","startHours":13.387290796209422,"endHours":14.701860217793325,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:49","end":"08:08","startHours":6.814443688289916,"endHours":8.129013109873817,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:37","startHours":9.268306608579865,"endHours":9.618858454335573,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:15","end":"07:32","startHours":7.252633495484551,"endHours":7.533074972089116,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:25","startHours":11.722169528869815,"endHours":12.423273220381228,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:07","startHours":5.412236305267088,"endHours":6.113339996778502,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:56","end":"06:49","startHours":5.938064073900649,"endHours":6.814443688289916,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.825480603404056,"endHours":14.52658429491547,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.130999060961127,"endHours":17.530999060961125,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.330999060961126,"endHours":17.76918886815576,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.080999060961126,"endHours":18.830999060961126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:25","startHours":23.722169528869816,"endHours":24.42327322038123,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:49","end":"08:08","startHours":6.814443688289916,"endHours":8.129013109873817,"quality":"inauspicious"},{"name":"Śubha","start":"08:08","end":"09:27","startHours":8.129013109873817,"endHours":9.443582531457718,"quality":"auspicious"},{"name":"Roga","start":"09:27","end":"10:45","startHours":9.443582531457718,"endHours":10.75815195304162,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:04","startHours":10.75815195304162,"endHours":12.072721374625521,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:23","startHours":12.072721374625521,"endHours":13.387290796209422,"quality":"neutral"},{"name":"Labha","start":"13:23","end":"14:42","startHours":13.387290796209422,"endHours":14.701860217793325,"quality":"auspicious"},{"name":"Amṛta","start":"14:42","end":"16:01","startHours":14.701860217793325,"endHours":16.016429639377225,"quality":"auspicious"},{"name":"Kāla","start":"16:01","end":"17:20","startHours":16.016429639377225,"endHours":17.330999060961126,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:20","end":"19:01","startHours":17.330999060961126,"endHours":19.016429639377225,"quality":"auspicious"},{"name":"Amṛta","start":"19:01","end":"20:42","startHours":19.016429639377225,"endHours":20.701860217793325,"quality":"auspicious"},{"name":"Kāla","start":"20:42","end":"22:23","startHours":20.701860217793325,"endHours":22.38729079620942,"quality":"inauspicious"},{"name":"Śubha","start":"22:23","end":"00:04","startHours":22.38729079620942,"endHours":24.072721374625523,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:45","startHours":24.072721374625523,"endHours":25.75815195304162,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:27","startHours":25.75815195304162,"endHours":27.443582531457718,"quality":"inauspicious"},{"name":"Chala","start":"03:27","end":"05:08","startHours":27.443582531457718,"endHours":29.129013109873817,"quality":"neutral"},{"name":"Labha","start":"05:08","end":"06:49","startHours":29.129013109873817,"endHours":30.814443688289916,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:49","end":"07:49","startHours":6.814443688289916,"endHours":7.814443688289916,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:49","end":"08:49","startHours":7.814443688289916,"endHours":8.814443688289916,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:49","end":"09:49","startHours":8.814443688289916,"endHours":9.814443688289916,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:49","end":"10:49","startHours":9.814443688289916,"endHours":10.814443688289916,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:49","end":"11:49","startHours":10.814443688289916,"endHours":11.814443688289916,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:49","end":"12:49","startHours":11.814443688289916,"endHours":12.814443688289916,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:49","end":"13:49","startHours":12.814443688289916,"endHours":13.814443688289916,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:49","end":"14:49","startHours":13.814443688289916,"endHours":14.814443688289916,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:49","end":"15:49","startHours":14.814443688289916,"endHours":15.814443688289916,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:49","end":"16:49","startHours":15.814443688289916,"endHours":16.814443688289916,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:49","end":"17:49","startHours":16.814443688289916,"endHours":17.814443688289916,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:49","end":"18:49","startHours":17.814443688289916,"endHours":18.814443688289916,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:49","end":"19:49","startHours":18.814443688289916,"endHours":19.814443688289916,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:49","end":"20:49","startHours":19.814443688289916,"endHours":20.814443688289916,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:49","end":"21:49","startHours":20.814443688289916,"endHours":21.814443688289916,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:49","end":"22:49","startHours":21.814443688289916,"endHours":22.814443688289916,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:49","end":"23:49","startHours":22.814443688289916,"endHours":23.814443688289916,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:49","end":"00:49","startHours":23.814443688289916,"endHours":24.814443688289916,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:49","end":"01:49","startHours":24.814443688289916,"endHours":25.814443688289916,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:49","end":"02:49","startHours":25.814443688289916,"endHours":26.814443688289916,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:49","end":"03:49","startHours":26.814443688289916,"endHours":27.814443688289916,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:49","end":"04:49","startHours":27.814443688289916,"endHours":28.814443688289916,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:49","end":"05:49","startHours":28.814443688289916,"endHours":29.814443688289916,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:49","end":"06:49","startHours":29.814443688289916,"endHours":30.814443688289916,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.592188621513746,"eotMinutes":1.851917522468745,"ayanamsa":-47.894}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Tṛtīyā · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"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":true,"location_specific":"lucknow"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 3138 BCE · Lucknow, Uttar Pradesh · Vidhyamitra","description":"December 20, 3138 BCE for Lucknow, Uttar Pradesh: Śukla Tṛtīyā, sūryodaya 06:49, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/lucknow/-3137-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/lucknow/-3137-12-20","sa":"https://sa.vidhyamitra.com/city/lucknow/-3137-12-20","hi":"https://hi.vidhyamitra.com/city/lucknow/-3137-12-20","x-default":"https://vidhyamitra.com/city/lucknow/-3137-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:53:31.123Z","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":"2026-05-14T19:53:31.123Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:53:31.123Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}