{"id":"vidhyamitra:city-day:kolhapur:2121-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2121-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-12-20","date_display":"December 20, 2121 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":2121,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496092.770833,"kali_year":5223,"ahargana":1907627.2708,"sun":{"sidereal_longitude":241.8841,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":11.1097,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.2256,"elapsed_within_tithi_degrees":9.2256},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.1097,"elapsed_within_degrees":11.1097},"yoga":{"number":19,"name":"Parigha","sum_longitude":252.9938},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"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":2121,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496092.770833,"ahargana":1907627.2708,"kali_year":5223,"ayanamsa_lahiri":25.5568,"grahas":{"sun":{"sidereal_longitude":242.53195800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":10.476058000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":4.3169},"mars":{"sidereal_longitude":256.405358,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":260.94545800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":124.338258,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":243.825958,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":79.25835799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":264.727,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":84.727,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496092.770833,"kali_year":5223,"ahargana":1907627.2708,"sun":{"sidereal_longitude":241.8841,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":11.1097,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":129.2256,"elapsed_within_tithi_degrees":9.2256},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.1097,"elapsed_within_degrees":11.1097},"yoga":{"number":19,"name":"Parigha","sum_longitude":252.9938},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.317,"elongation":129.226},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.317,"opposition_distance":50.774}},"eclipse_window_40days":[{"offset_days":4,"type":"lunar","occurs":true,"moon_latitude":1.303,"opposition_distance":1.67}]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:57","sunsetLocal":"18:05","solarNoonLocal":"12:31","dayLengthHours":11.131294920119094,"dayLengthDisplay":"11 Hours 07 Mins 53 Secs","nightLengthDisplay":"12 Hours 52 Mins 07 Secs","moonriseLocal":"14:44","moonsetLocal":"03:22","rahuKala":{"name":"Rāhu Kāla","start":"09:44","end":"11:08","startHours":9.736757644595748,"endHours":11.128169509610634,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:18","startHours":13.910993239640408,"endHours":15.302405104655294,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:57","end":"08:21","startHours":6.953933914565974,"endHours":8.34534577958086,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551236062593762,"endHours":9.922279226597732,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417737869570937,"endHours":7.714572400774113,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.14853821062155,"endHours":12.89062453862949,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469761258550095,"endHours":6.211847586558035,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.02632600455605,"endHours":6.953933914565974,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374797194645371,"endHours":15.11688352265331,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.88522883468507,"endHours":18.285228834685068,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.08522883468507,"endHours":18.54903278969003,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.83522883468507,"endHours":19.58522883468507,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.14853821062155,"endHours":24.890624538629492,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:57","end":"08:21","startHours":6.953933914565974,"endHours":8.34534577958086,"quality":"inauspicious"},{"name":"Śubha","start":"08:21","end":"09:44","startHours":8.34534577958086,"endHours":9.736757644595748,"quality":"auspicious"},{"name":"Roga","start":"09:44","end":"11:08","startHours":9.736757644595748,"endHours":11.128169509610634,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:31","startHours":11.128169509610634,"endHours":12.51958137462552,"quality":"inauspicious"},{"name":"Chala","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910993239640408,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:18","startHours":13.910993239640408,"endHours":15.302405104655294,"quality":"auspicious"},{"name":"Amṛta","start":"15:18","end":"16:42","startHours":15.302405104655294,"endHours":16.69381696967018,"quality":"auspicious"},{"name":"Kāla","start":"16:42","end":"18:05","startHours":16.69381696967018,"endHours":18.08522883468507,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:05","end":"19:42","startHours":18.08522883468507,"endHours":19.69381696967018,"quality":"auspicious"},{"name":"Amṛta","start":"19:42","end":"21:18","startHours":19.69381696967018,"endHours":21.302405104655296,"quality":"auspicious"},{"name":"Kāla","start":"21:18","end":"22:55","startHours":21.302405104655296,"endHours":22.91099323964041,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:31","startHours":22.91099323964041,"endHours":24.51958137462552,"quality":"auspicious"},{"name":"Roga","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128169509610636,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:44","startHours":26.128169509610636,"endHours":27.736757644595748,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:21","startHours":27.736757644595748,"endHours":29.34534577958086,"quality":"neutral"},{"name":"Labha","start":"05:21","end":"06:57","startHours":29.34534577958086,"endHours":30.953933914565972,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.953933914565974,"endHours":7.953933914565974,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.953933914565974,"endHours":8.953933914565974,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.953933914565974,"endHours":9.953933914565974,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.953933914565974,"endHours":10.953933914565974,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.953933914565974,"endHours":11.953933914565974,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.953933914565974,"endHours":12.953933914565974,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.953933914565974,"endHours":13.953933914565974,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.953933914565974,"endHours":14.953933914565974,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.953933914565974,"endHours":15.953933914565974,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.953933914565974,"endHours":16.953933914565972,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.953933914565972,"endHours":17.953933914565972,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.953933914565972,"endHours":18.953933914565972,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.953933914565972,"endHours":19.953933914565972,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.953933914565972,"endHours":20.953933914565972,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.953933914565972,"endHours":21.953933914565972,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.953933914565972,"endHours":22.953933914565972,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.953933914565972,"endHours":23.953933914565972,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.953933914565972,"endHours":24.953933914565972,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.953933914565972,"endHours":25.953933914565972,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.953933914565972,"endHours":26.953933914565972,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.953933914565972,"endHours":27.953933914565972,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.953933914565972,"endHours":28.953933914565972,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.953933914565972,"endHours":29.953933914565972,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.953933914565972,"endHours":30.953933914565972,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.42268343605962,"eotMinutes":1.851917522468745,"ayanamsa":25.5568}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Ekādaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"kolhapur"},"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, 2121 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2121 CE for Kolhāpur, Maharashtra: Śukla Ekādaśī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2121-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:36:21.617Z","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":"2026-05-31T01:36:21.617Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:36:21.617Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}