{"id":"vidhyamitra:city-day:kolhapur:2121-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2121-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-08-31","date_display":"August 31, 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":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495981.770833,"kali_year":5223,"ahargana":1907516.2708,"sun":{"sidereal_longitude":131.1785,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":346.6572,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.4787,"elapsed_within_tithi_degrees":11.4787},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.6572,"elapsed_within_degrees":13.3239},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.8357},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495981.770833,"ahargana":1907516.2708,"kali_year":5223,"ayanamsa_lahiri":25.5525,"grahas":{"sun":{"sidereal_longitude":132.149699,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":350.147099,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.367},"mars":{"sidereal_longitude":177.23739899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":155.768099,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":109.83489900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":105.48179900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":78.45839899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":270.6084,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.6084,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495981.770833,"kali_year":5223,"ahargana":1907516.2708,"sun":{"sidereal_longitude":131.1785,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":346.6572,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.4787,"elapsed_within_tithi_degrees":11.4787},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":346.6572,"elapsed_within_degrees":13.3239},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.8357},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.367,"elongation":144.521},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.367,"opposition_distance":35.479}},"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":"06:19","sunsetLocal":"18:47","solarNoonLocal":"12:33","dayLengthHours":12.467581474665536,"dayLengthDisplay":"12 Hours 28 Mins 03 Secs","nightLengthDisplay":"11 Hours 31 Mins 57 Secs","moonriseLocal":"20:55","moonsetLocal":"09:15","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"18:47","startHours":17.223363227609788,"endHours":18.78181091194298,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:33","end":"14:06","startHours":12.548020174610212,"endHours":14.106467858943404,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:40","end":"17:13","startHours":15.664915543276596,"endHours":17.223363227609788,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:38","startHours":9.22333178136607,"endHours":9.638917830521589,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:10","startHours":6.833711998721842,"endHours":7.166180838046256,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:58","startHours":12.132434125454694,"endHours":12.96360622376573,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:29","startHours":4.651885240655373,"endHours":5.483057338966409,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.27526431438865,"endHours":6.314229437277445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:27","startHours":14.625950420387802,"endHours":15.457122518698839,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.58181091194298,"endHours":18.98181091194298,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:18","startHours":18.78181091194298,"endHours":19.30129347338738,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.53181091194298,"endHours":20.28181091194298,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:58","startHours":24.132434125454694,"endHours":24.96360622376573,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:19","end":"07:52","startHours":6.314229437277445,"endHours":7.872677121610637,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:26","startHours":7.872677121610637,"endHours":9.431124805943828,"quality":"neutral"},{"name":"Labha","start":"09:26","end":"10:59","startHours":9.431124805943828,"endHours":10.98957249027702,"quality":"auspicious"},{"name":"Amṛta","start":"10:59","end":"12:33","startHours":10.98957249027702,"endHours":12.548020174610212,"quality":"auspicious"},{"name":"Kāla","start":"12:33","end":"14:06","startHours":12.548020174610212,"endHours":14.106467858943404,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:40","startHours":14.106467858943404,"endHours":15.664915543276596,"quality":"auspicious"},{"name":"Roga","start":"15:40","end":"17:13","startHours":15.664915543276596,"endHours":17.223363227609788,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"18:47","startHours":17.223363227609788,"endHours":18.78181091194298,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:47","end":"20:13","startHours":18.78181091194298,"endHours":20.223363227609788,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:40","startHours":20.223363227609788,"endHours":21.664915543276596,"quality":"inauspicious"},{"name":"Udveg","start":"21:40","end":"23:06","startHours":21.664915543276596,"endHours":23.106467858943404,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:33","startHours":23.106467858943404,"endHours":24.548020174610212,"quality":"neutral"},{"name":"Labha","start":"00:33","end":"01:59","startHours":24.548020174610212,"endHours":25.98957249027702,"quality":"auspicious"},{"name":"Amṛta","start":"01:59","end":"03:26","startHours":25.98957249027702,"endHours":27.431124805943828,"quality":"auspicious"},{"name":"Kāla","start":"03:26","end":"04:52","startHours":27.431124805943828,"endHours":28.872677121610636,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:19","startHours":28.872677121610636,"endHours":30.314229437277444,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.314229437277445,"endHours":7.314229437277445,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.314229437277445,"endHours":8.314229437277444,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.314229437277444,"endHours":9.314229437277444,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.314229437277444,"endHours":10.314229437277444,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.314229437277444,"endHours":11.314229437277444,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.314229437277444,"endHours":12.314229437277444,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.314229437277444,"endHours":13.314229437277444,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.314229437277444,"endHours":14.314229437277444,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.314229437277444,"endHours":15.314229437277444,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.314229437277444,"endHours":16.314229437277444,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.314229437277444,"endHours":17.314229437277444,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.314229437277444,"endHours":18.314229437277444,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.314229437277444,"endHours":19.314229437277444,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.314229437277444,"endHours":20.314229437277444,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.314229437277444,"endHours":21.314229437277444,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.314229437277444,"endHours":22.314229437277444,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.314229437277444,"endHours":23.314229437277444,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.314229437277444,"endHours":24.314229437277444,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.314229437277444,"endHours":25.314229437277444,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.314229437277444,"endHours":26.314229437277444,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.314229437277444,"endHours":27.314229437277444,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.314229437277444,"endHours":28.314229437277444,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.314229437277444,"endHours":29.314229437277444,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.314229437277444,"endHours":30.314229437277444,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.679544862004859,"eotMinutes":0.14558952338733633,"ayanamsa":25.5525}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 August 31, 2121 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 31, 2121 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:19, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-08-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-08-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-08-31","x-default":"https://vidhyamitra.com/city/kolhapur/2121-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T14:34:07.930Z","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":"2026-05-22T14:34:07.930Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T14:34:07.930Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}