{"id":"vidhyamitra:city-day:kolhapur:2021-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2021-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-01-02","date_display":"January 2, 2021 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":2021,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459216.770833,"kali_year":5122,"ahargana":1870751.2708,"sun":{"sidereal_longitude":257.4367,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":112.543,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.1063,"elapsed_within_tithi_degrees":11.1063},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.543,"elapsed_within_degrees":5.8763},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.9797},"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":2021,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459216.770833,"ahargana":1870751.2708,"kali_year":5122,"ayanamsa_lahiri":24.1464,"grahas":{"sun":{"sidereal_longitude":257.71039199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":112.31469199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":3.6369},"mars":{"sidereal_longitude":3.388091999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":265.03469199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":278.8755920000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":237.29069200000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":277.59909200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":58.595,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.595,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":2021,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459216.770833,"kali_year":5122,"ahargana":1870751.2708,"sun":{"sidereal_longitude":257.4367,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":112.543,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.1063,"elapsed_within_tithi_degrees":11.1063},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":112.543,"elapsed_within_degrees":5.8763},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.9797},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.637,"elongation":144.894},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.637,"opposition_distance":35.106}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":1.091,"opposition_distance":1.549}]},"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":"07:03","sunsetLocal":"18:12","solarNoonLocal":"12:37","dayLengthHours":11.155344291053346,"dayLengthDisplay":"11 Hours 09 Mins 19 Secs","nightLengthDisplay":"12 Hours 50 Mins 41 Secs","moonriseLocal":"20:33","moonsetLocal":"09:18","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:14","startHours":9.830772428659223,"endHours":11.22519046504089,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:01","end":"15:25","startHours":14.014026537804227,"endHours":15.408444574185896,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:03","end":"08:26","startHours":7.041936355895886,"endHours":8.436354392277554,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.644850023808333,"endHours":10.016694833510112,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:48","startHours":7.506742368023109,"endHours":7.804218215784531,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:15","end":"12:59","startHours":12.24776369172078,"endHours":12.991453311124337,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:18","startHours":5.554557117088773,"endHours":6.298246736492329,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"07:03","startHours":6.112324331641441,"endHours":7.041936355895886,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:13","startHours":14.47883254993145,"endHours":15.222522169335006,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:00","end":"18:24","startHours":17.997280646949232,"endHours":18.39728064694923,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:12","end":"18:40","startHours":18.19728064694923,"endHours":18.662086659076454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:57","end":"19:42","startHours":17.94728064694923,"endHours":19.69728064694923,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:15","end":"00:59","startHours":24.24776369172078,"endHours":24.991453311124335,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:03","end":"08:26","startHours":7.041936355895886,"endHours":8.436354392277554,"quality":"inauspicious"},{"name":"Śubha","start":"08:26","end":"09:50","startHours":8.436354392277554,"endHours":9.830772428659223,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:14","startHours":9.830772428659223,"endHours":11.22519046504089,"quality":"inauspicious"},{"name":"Udveg","start":"11:14","end":"12:37","startHours":11.22519046504089,"endHours":12.619608501422558,"quality":"inauspicious"},{"name":"Chala","start":"12:37","end":"14:01","startHours":12.619608501422558,"endHours":14.014026537804227,"quality":"neutral"},{"name":"Labha","start":"14:01","end":"15:25","startHours":14.014026537804227,"endHours":15.408444574185896,"quality":"auspicious"},{"name":"Amṛta","start":"15:25","end":"16:48","startHours":15.408444574185896,"endHours":16.802862610567562,"quality":"auspicious"},{"name":"Kāla","start":"16:48","end":"18:12","startHours":16.802862610567562,"endHours":18.19728064694923,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:12","end":"19:48","startHours":18.19728064694923,"endHours":19.802862610567562,"quality":"auspicious"},{"name":"Amṛta","start":"19:48","end":"21:25","startHours":19.802862610567562,"endHours":21.408444574185893,"quality":"auspicious"},{"name":"Kāla","start":"21:25","end":"23:01","startHours":21.408444574185893,"endHours":23.014026537804227,"quality":"inauspicious"},{"name":"Śubha","start":"23:01","end":"00:37","startHours":23.014026537804227,"endHours":24.619608501422558,"quality":"auspicious"},{"name":"Roga","start":"00:37","end":"02:14","startHours":24.619608501422558,"endHours":26.22519046504089,"quality":"inauspicious"},{"name":"Udveg","start":"02:14","end":"03:50","startHours":26.22519046504089,"endHours":27.830772428659223,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:26","startHours":27.830772428659223,"endHours":29.436354392277554,"quality":"neutral"},{"name":"Labha","start":"05:26","end":"07:03","startHours":29.436354392277554,"endHours":31.041936355895885,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.041936355895886,"endHours":8.041936355895885,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.041936355895885,"endHours":9.041936355895885,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.041936355895885,"endHours":10.041936355895885,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.041936355895885,"endHours":11.041936355895885,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.041936355895885,"endHours":12.041936355895885,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.041936355895885,"endHours":13.041936355895885,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.041936355895885,"endHours":14.041936355895885,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.041936355895885,"endHours":15.041936355895885,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.041936355895885,"endHours":16.041936355895885,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.041936355895885,"endHours":17.041936355895885,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.041936355895885,"endHours":18.041936355895885,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.041936355895885,"endHours":19.041936355895885,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.041936355895885,"endHours":20.041936355895885,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.041936355895885,"endHours":21.041936355895885,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.041936355895885,"endHours":22.041936355895885,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.041936355895885,"endHours":23.041936355895885,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.041936355895885,"endHours":24.041936355895885,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.041936355895885,"endHours":25.041936355895885,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.041936355895885,"endHours":26.041936355895885,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.041936355895885,"endHours":27.041936355895885,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.041936355895885,"endHours":28.041936355895885,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.041936355895885,"endHours":29.041936355895885,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.041936355895885,"endHours":30.041936355895885,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.041936355895885,"endHours":31.041936355895885,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"Saumya","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.907624102790752,"eotMinutes":-4.149710085353452,"ayanamsa":24.1464}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":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 January 2, 2021 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 2, 2021 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 07:03, sūryāsta 18:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2021-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2021-01-02","sa":"https://sa.vidhyamitra.com/city/kolhapur/2021-01-02","hi":"https://hi.vidhyamitra.com/city/kolhapur/2021-01-02","x-default":"https://vidhyamitra.com/city/kolhapur/2021-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T04:41:48.279Z","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":"2026-05-15T04:41:48.279Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T04:41:48.279Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}