{"id":"vidhyamitra:city-day:kolhapur:2070-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2070-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2070-12-20","date_display":"December 20, 2070 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":2070,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477465.770833,"kali_year":5172,"ahargana":1889000.2708,"sun":{"sidereal_longitude":243.1126,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":94.5126,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.4,"elapsed_within_tithi_degrees":7.4},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.5126,"elapsed_within_degrees":1.1792},"yoga":{"number":26,"name":"Indra","sum_longitude":337.6252},"karana":{"half_tithi_index":35,"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":2070,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477465.770833,"ahargana":1889000.2708,"kali_year":5172,"ayanamsa_lahiri":24.8444,"grahas":{"sun":{"sidereal_longitude":243.62884600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":97.37354599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-4.3873},"mars":{"sidereal_longitude":230.83394599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":222.15654600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":354.136946,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":260.573846,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":183.94454599999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":171.6751,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.6751,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2070,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477465.770833,"kali_year":5172,"ahargana":1889000.2708,"sun":{"sidereal_longitude":243.1126,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":94.5126,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.4,"elapsed_within_tithi_degrees":7.4},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.5126,"elapsed_within_degrees":1.1792},"yoga":{"number":26,"name":"Indra","sum_longitude":337.6252},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.387,"elongation":148.6},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.387,"opposition_distance":31.4}},"eclipse_window_40days":[]},"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":11.131060583232447,"dayLengthDisplay":"11 Hours 07 Mins 52 Secs","nightLengthDisplay":"12 Hours 52 Mins 08 Secs","moonriseLocal":"20:19","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"09:44","end":"11:08","startHours":9.736816228817407,"endHours":11.128198801721464,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:18","startHours":13.910963947529575,"endHours":15.30234652043363,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:57","end":"08:21","startHours":6.954051083009296,"endHours":8.345433655913352,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.5512985524302,"endHours":9.922333905204615,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417845273977314,"endHours":7.714673556196846,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.148546021851105,"endHours":12.890616727399935,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469909671911637,"endHours":6.211980377460466,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.0264627010732585,"endHours":6.954051083009296,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374758138497594,"endHours":15.116828844046424,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.885111666241745,"endHours":18.285111666241743,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.085111666241744,"endHours":18.548905857209764,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.835111666241744,"endHours":19.585111666241744,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.148546021851107,"endHours":24.890616727399934,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:57","end":"08:21","startHours":6.954051083009296,"endHours":8.345433655913352,"quality":"inauspicious"},{"name":"Śubha","start":"08:21","end":"09:44","startHours":8.345433655913352,"endHours":9.736816228817407,"quality":"auspicious"},{"name":"Roga","start":"09:44","end":"11:08","startHours":9.736816228817407,"endHours":11.128198801721464,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:31","startHours":11.128198801721464,"endHours":12.51958137462552,"quality":"inauspicious"},{"name":"Chala","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910963947529575,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:18","startHours":13.910963947529575,"endHours":15.30234652043363,"quality":"auspicious"},{"name":"Amṛta","start":"15:18","end":"16:42","startHours":15.30234652043363,"endHours":16.693729093337687,"quality":"auspicious"},{"name":"Kāla","start":"16:42","end":"18:05","startHours":16.693729093337687,"endHours":18.085111666241744,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:05","end":"19:42","startHours":18.085111666241744,"endHours":19.693729093337687,"quality":"auspicious"},{"name":"Amṛta","start":"19:42","end":"21:18","startHours":19.693729093337687,"endHours":21.30234652043363,"quality":"auspicious"},{"name":"Kāla","start":"21:18","end":"22:55","startHours":21.30234652043363,"endHours":22.910963947529577,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:31","startHours":22.910963947529577,"endHours":24.51958137462552,"quality":"auspicious"},{"name":"Roga","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128198801721464,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:44","startHours":26.128198801721464,"endHours":27.73681622881741,"quality":"inauspicious"},{"name":"Chala","start":"03:44","end":"05:21","startHours":27.73681622881741,"endHours":29.345433655913354,"quality":"neutral"},{"name":"Labha","start":"05:21","end":"06:57","startHours":29.345433655913354,"endHours":30.954051083009297,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.954051083009296,"endHours":7.954051083009296,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.954051083009296,"endHours":8.954051083009297,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.954051083009297,"endHours":9.954051083009297,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.954051083009297,"endHours":10.954051083009297,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.954051083009297,"endHours":11.954051083009297,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.954051083009297,"endHours":12.954051083009297,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.954051083009297,"endHours":13.954051083009297,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.954051083009297,"endHours":14.954051083009297,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.954051083009297,"endHours":15.954051083009297,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.954051083009297,"endHours":16.954051083009297,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.954051083009297,"endHours":17.954051083009297,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.954051083009297,"endHours":18.954051083009297,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.954051083009297,"endHours":19.954051083009297,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.954051083009297,"endHours":20.954051083009297,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.954051083009297,"endHours":21.954051083009297,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.954051083009297,"endHours":22.954051083009297,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.954051083009297,"endHours":23.954051083009297,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.954051083009297,"endHours":24.954051083009297,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.954051083009297,"endHours":25.954051083009297,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.954051083009297,"endHours":26.954051083009297,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.954051083009297,"endHours":27.954051083009297,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.954051083009297,"endHours":28.954051083009297,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.954051083009297,"endHours":29.954051083009297,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.954051083009297,"endHours":30.954051083009297,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.42768282202971,"eotMinutes":1.851917522468745,"ayanamsa":24.8444}},"calendars":{"vikram_samvat":2127,"vikram_samvatsara":"Śobhana","saka_samvat":1992,"saka_samvatsara":"Vikṛti","bengali_samvat":1477,"malayalam_era":1246,"nanakshahi_year":601,"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 Tṛtīyā · Vikram 2127 Śobhana · Śaka 1992 Vikṛti"},"festivals":[],"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":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, 2070 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2070 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2070-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2070-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2070-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2070-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2070-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:47:40.145Z","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":"2026-06-01T09:47:40.145Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:47:40.145Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}