{"id":"vidhyamitra:city-day:kolhapur:-3101-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/-3101-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-20","date_display":"January 20, 3102 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":-3101,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588436.770833,"kali_year":0,"ahargana":-28.7292,"sun":{"sidereal_longitude":333.9937,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":348.0663,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.0726,"elapsed_within_tithi_degrees":2.0726},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.0663,"elapsed_within_degrees":1.3996},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.0599},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3101,"month":1,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588436.770833,"ahargana":-28.7292,"kali_year":0,"ayanamsa_lahiri":-47.4039,"grahas":{"sun":{"sidereal_longitude":333.9937,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":348.0663,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":1.0461},"mars":{"sidereal_longitude":343.4742,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":307.4468,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":354.5767,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":325.2796,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":348.947,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":181.5222,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":1.5222,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":-3101,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588436.770833,"kali_year":0,"ahargana":-28.7292,"sun":{"sidereal_longitude":333.9937,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":348.0663,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.0726,"elapsed_within_tithi_degrees":2.0726},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":348.0663,"elapsed_within_degrees":1.3996},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.0599},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.046,"elongation":14.073},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.046,"opposition_distance":165.927}},"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":"07:09","sunsetLocal":"18:19","solarNoonLocal":"12:44","dayLengthHours":11.178567299941157,"dayLengthDisplay":"11 Hours 10 Mins 43 Secs","nightLengthDisplay":"12 Hours 49 Mins 17 Secs","moonriseLocal":"08:03","moonsetLocal":"19:18","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:32","startHours":14.130505968113132,"endHours":15.527826880605776,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:09","end":"08:32","startHours":7.143901405649909,"endHours":8.541222318142554,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:56","end":"11:20","startHours":9.938543230635197,"endHours":11.335864143127843,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:45","end":"10:07","startHours":9.752233775636178,"endHours":10.124852685634217,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.609675043147457,"endHours":7.907770171145888,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:06","startHours":12.36056614562245,"endHours":13.105803965618527,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:39","end":"06:24","startHours":5.6534257656577545,"endHours":6.398663585653832,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:09","startHours":6.212354130654813,"endHours":7.143901405649909,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:20","startHours":14.59627960561068,"endHours":15.341517425606758,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.122468705591068,"endHours":18.522468705591066,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:47","startHours":18.322468705591067,"endHours":18.788242343088616,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.072468705591067,"endHours":19.822468705591067,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:06","startHours":24.36056614562245,"endHours":25.105803965618527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:09","end":"08:32","startHours":7.143901405649909,"endHours":8.541222318142554,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:56","startHours":8.541222318142554,"endHours":9.938543230635197,"quality":"inauspicious"},{"name":"Udveg","start":"09:56","end":"11:20","startHours":9.938543230635197,"endHours":11.335864143127843,"quality":"inauspicious"},{"name":"Chala","start":"11:20","end":"12:44","startHours":11.335864143127843,"endHours":12.733185055620488,"quality":"neutral"},{"name":"Labha","start":"12:44","end":"14:08","startHours":12.733185055620488,"endHours":14.130505968113132,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:32","startHours":14.130505968113132,"endHours":15.527826880605776,"quality":"auspicious"},{"name":"Kāla","start":"15:32","end":"16:56","startHours":15.527826880605776,"endHours":16.92514779309842,"quality":"inauspicious"},{"name":"Śubha","start":"16:56","end":"18:19","startHours":16.92514779309842,"endHours":18.322468705591067,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:19","end":"19:56","startHours":18.322468705591067,"endHours":19.92514779309842,"quality":"auspicious"},{"name":"Kāla","start":"19:56","end":"21:32","startHours":19.92514779309842,"endHours":21.52782688060578,"quality":"inauspicious"},{"name":"Śubha","start":"21:32","end":"23:08","startHours":21.52782688060578,"endHours":23.130505968113134,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:44","startHours":23.130505968113134,"endHours":24.73318505562049,"quality":"inauspicious"},{"name":"Udveg","start":"00:44","end":"02:20","startHours":24.73318505562049,"endHours":26.335864143127843,"quality":"inauspicious"},{"name":"Chala","start":"02:20","end":"03:56","startHours":26.335864143127843,"endHours":27.938543230635197,"quality":"neutral"},{"name":"Labha","start":"03:56","end":"05:32","startHours":27.938543230635197,"endHours":29.541222318142555,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:09","startHours":29.541222318142555,"endHours":31.14390140564991,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.143901405649909,"endHours":8.14390140564991,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.14390140564991,"endHours":9.14390140564991,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.14390140564991,"endHours":10.14390140564991,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.14390140564991,"endHours":11.14390140564991,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.14390140564991,"endHours":12.14390140564991,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.14390140564991,"endHours":13.14390140564991,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.14390140564991,"endHours":14.14390140564991,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.14390140564991,"endHours":15.14390140564991,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.14390140564991,"endHours":16.14390140564991,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.14390140564991,"endHours":17.14390140564991,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.14390140564991,"endHours":18.14390140564991,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.14390140564991,"endHours":19.14390140564991,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.14390140564991,"endHours":20.14390140564991,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.14390140564991,"endHours":21.14390140564991,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.14390140564991,"endHours":22.14390140564991,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.14390140564991,"endHours":23.14390140564991,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.14390140564991,"endHours":24.14390140564991,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.14390140564991,"endHours":25.14390140564991,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.14390140564991,"endHours":26.14390140564991,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.14390140564991,"endHours":27.14390140564991,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.14390140564991,"endHours":28.14390140564991,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.14390140564991,"endHours":29.14390140564991,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.14390140564991,"endHours":30.14390140564991,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.14390140564991,"endHours":31.14390140564991,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.406559381483437,"eotMinutes":-10.9643033372293,"ayanamsa":-47.4039}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Dvitīyā · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 20, 3102 BCE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 20, 3102 BCE for Kolhāpur, Maharashtra: Śukla Dvitīyā, sūryodaya 07:09, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/-3101-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/-3101-01-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/-3101-01-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/-3101-01-20","x-default":"https://vidhyamitra.com/city/kolhapur/-3101-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:45:51.871Z","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":"2026-05-30T23:45:51.871Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:45:51.871Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}