{"id":"vidhyamitra:city-day:kolhapur:2121-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2121-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-21","date_display":"January 21, 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":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495759.770833,"kali_year":5222,"ahargana":1907294.2708,"sun":{"sidereal_longitude":275.03,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":299.5085,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.4785,"elapsed_within_tithi_degrees":0.4785},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.5085,"elapsed_within_degrees":6.1751},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":214.5384},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495759.770833,"ahargana":1907294.2708,"kali_year":5222,"ayanamsa_lahiri":25.544,"grahas":{"sun":{"sidereal_longitude":275.39128100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":302.429481,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":1.3247},"mars":{"sidereal_longitude":120.34478100000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":268.34018100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":86.75118099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":312.50638100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":61.53318100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":282.371,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.371,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495759.770833,"kali_year":5222,"ahargana":1907294.2708,"sun":{"sidereal_longitude":275.03,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":299.5085,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.4785,"elapsed_within_tithi_degrees":0.4785},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.5085,"elapsed_within_degrees":6.1751},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":214.5384},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.325,"elongation":24.478},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.325,"opposition_distance":155.522}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"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":"07:06","sunsetLocal":"18:23","solarNoonLocal":"12:44","dayLengthHours":11.290264374882305,"dayLengthDisplay":"11 Hours 17 Mins 25 Secs","nightLengthDisplay":"12 Hours 42 Mins 35 Secs","moonriseLocal":"08:45","moonsetLocal":"20:20","rahuKala":{"name":"Rāhu Kāla","start":"15:34","end":"16:58","startHours":15.560608281206113,"endHours":16.971891328066402,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:55","end":"11:20","startHours":9.91547609376496,"endHours":11.32675914062525,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:44","end":"14:09","startHours":12.738042187485537,"endHours":14.149325234345824,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:44","end":"10:06","startHours":9.727305020850256,"endHours":10.103647166679664,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.563337682331147,"endHours":7.864411398994675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:07","startHours":12.361700041656126,"endHours":13.114384333314947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:20","startHours":5.587541416726744,"endHours":6.340225708385564,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:06","startHours":6.152054635470859,"endHours":7.092910000044384,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:22","startHours":14.619752916632587,"endHours":15.372437208291407,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.18317437492669,"endHours":18.58317437492669,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:51","startHours":18.38317437492669,"endHours":18.85360205721345,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.13317437492669,"endHours":19.88317437492669,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:07","startHours":24.361700041656125,"endHours":25.11438433331495,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:06","end":"08:30","startHours":7.092910000044384,"endHours":8.504193046904671,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:55","startHours":8.504193046904671,"endHours":9.91547609376496,"quality":"inauspicious"},{"name":"Chala","start":"09:55","end":"11:20","startHours":9.91547609376496,"endHours":11.32675914062525,"quality":"neutral"},{"name":"Labha","start":"11:20","end":"12:44","startHours":11.32675914062525,"endHours":12.738042187485537,"quality":"auspicious"},{"name":"Amṛta","start":"12:44","end":"14:09","startHours":12.738042187485537,"endHours":14.149325234345824,"quality":"auspicious"},{"name":"Kāla","start":"14:09","end":"15:34","startHours":14.149325234345824,"endHours":15.560608281206113,"quality":"inauspicious"},{"name":"Śubha","start":"15:34","end":"16:58","startHours":15.560608281206113,"endHours":16.971891328066402,"quality":"auspicious"},{"name":"Roga","start":"16:58","end":"18:23","startHours":16.971891328066402,"endHours":18.38317437492669,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:23","end":"19:58","startHours":18.38317437492669,"endHours":19.971891328066402,"quality":"inauspicious"},{"name":"Śubha","start":"19:58","end":"21:34","startHours":19.971891328066402,"endHours":21.560608281206115,"quality":"auspicious"},{"name":"Roga","start":"21:34","end":"23:09","startHours":21.560608281206115,"endHours":23.149325234345824,"quality":"inauspicious"},{"name":"Udveg","start":"23:09","end":"00:44","startHours":23.149325234345824,"endHours":24.738042187485537,"quality":"inauspicious"},{"name":"Chala","start":"00:44","end":"02:20","startHours":24.738042187485537,"endHours":26.32675914062525,"quality":"neutral"},{"name":"Labha","start":"02:20","end":"03:55","startHours":26.32675914062525,"endHours":27.91547609376496,"quality":"auspicious"},{"name":"Amṛta","start":"03:55","end":"05:30","startHours":27.91547609376496,"endHours":29.50419304690467,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:06","startHours":29.50419304690467,"endHours":31.092910000044384,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.092910000044384,"endHours":8.092910000044384,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.092910000044384,"endHours":9.092910000044384,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.092910000044384,"endHours":10.092910000044384,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.092910000044384,"endHours":11.092910000044384,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.092910000044384,"endHours":12.092910000044384,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.092910000044384,"endHours":13.092910000044384,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.092910000044384,"endHours":14.092910000044384,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.092910000044384,"endHours":15.092910000044384,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.092910000044384,"endHours":16.092910000044384,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.092910000044384,"endHours":17.092910000044384,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.092910000044384,"endHours":18.092910000044384,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.092910000044384,"endHours":19.092910000044384,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.092910000044384,"endHours":20.092910000044384,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.092910000044384,"endHours":21.092910000044384,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.092910000044384,"endHours":22.092910000044384,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.092910000044384,"endHours":23.092910000044384,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.092910000044384,"endHours":24.092910000044384,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.092910000044384,"endHours":25.092910000044384,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.092910000044384,"endHours":26.092910000044384,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.092910000044384,"endHours":27.092910000044384,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.092910000044384,"endHours":28.092910000044384,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.092910000044384,"endHours":29.092910000044384,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.092910000044384,"endHours":30.092910000044384,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.092910000044384,"endHours":31.092910000044384,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.947223786137926,"eotMinutes":-11.255731249132124,"ayanamsa":25.544}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Tṛtīyā · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 21, 2121 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 21, 2121 CE for Kolhāpur, Maharashtra: Śukla Tṛtīyā, sūryodaya 07:06, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-01-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-01-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-01-21","x-default":"https://vidhyamitra.com/city/kolhapur/2121-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:34:59.430Z","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":"2026-05-31T00:34:59.430Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:34:59.430Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}