{"id":"vidhyamitra:city-day:kolhapur:2109-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2109-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-08-13","date_display":"August 13, 2109 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":2109,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491580.770833,"kali_year":5211,"ahargana":1903115.2708,"sun":{"sidereal_longitude":114.0355,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":323.1821,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.1466,"elapsed_within_tithi_degrees":5.1466},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.1821,"elapsed_within_degrees":3.1821},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.2175},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2109,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491580.770833,"ahargana":1903115.2708,"kali_year":5211,"ayanamsa_lahiri":25.3842,"grahas":{"sun":{"sidereal_longitude":114.89425,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":321.80575,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":0.0481},"mars":{"sidereal_longitude":92.12284999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":136.76515,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":102.69315,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":153.97884999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":279.9518499999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":143.7945,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.7945,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2109,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491580.770833,"kali_year":5211,"ahargana":1903115.2708,"sun":{"sidereal_longitude":114.0355,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":323.1821,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.1466,"elapsed_within_tithi_degrees":5.1466},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.1821,"elapsed_within_degrees":3.1821},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.2175},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.048,"elongation":150.853},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.048,"opposition_distance":29.147}},"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":"06:16","sunsetLocal":"18:59","solarNoonLocal":"12:38","dayLengthHours":12.723498702671286,"dayLengthDisplay":"12 Hours 43 Mins 25 Secs","nightLengthDisplay":"11 Hours 16 Mins 35 Secs","moonriseLocal":"20:29","moonsetLocal":"08:22","rahuKala":{"name":"Rāhu Kāla","start":"15:48","end":"17:24","startHours":15.807346687971414,"endHours":17.397784025805322,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:27","end":"11:02","startHours":9.445597336635771,"endHours":11.036034674469681,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"14:13","startHours":12.62647201230359,"endHours":14.216909350137502,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.233539024924582,"endHours":9.657655648346958,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:08","startHours":6.794868440245919,"endHours":7.13416173898382,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"13:03","startHours":12.202355388881214,"endHours":13.050588635725967,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:25","startHours":4.568256167278443,"endHours":5.4164894141231965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:16","startHours":5.204431102412008,"endHours":6.264722660967949,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:45","end":"15:36","startHours":14.747055129415472,"endHours":15.595288376260225,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.788221363639234,"endHours":19.188221363639233,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:31","startHours":18.988221363639234,"endHours":19.518367142917203,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.738221363639234,"endHours":20.488221363639234,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"01:03","startHours":24.202355388881216,"endHours":25.050588635725966,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:16","end":"07:51","startHours":6.264722660967949,"endHours":7.8551599988018594,"quality":"inauspicious"},{"name":"Udveg","start":"07:51","end":"09:27","startHours":7.8551599988018594,"endHours":9.445597336635771,"quality":"inauspicious"},{"name":"Chala","start":"09:27","end":"11:02","startHours":9.445597336635771,"endHours":11.036034674469681,"quality":"neutral"},{"name":"Labha","start":"11:02","end":"12:38","startHours":11.036034674469681,"endHours":12.62647201230359,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"14:13","startHours":12.62647201230359,"endHours":14.216909350137502,"quality":"auspicious"},{"name":"Kāla","start":"14:13","end":"15:48","startHours":14.216909350137502,"endHours":15.807346687971414,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:24","startHours":15.807346687971414,"endHours":17.397784025805322,"quality":"auspicious"},{"name":"Roga","start":"17:24","end":"18:59","startHours":17.397784025805322,"endHours":18.988221363639234,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:24","startHours":18.988221363639234,"endHours":20.397784025805322,"quality":"inauspicious"},{"name":"Śubha","start":"20:24","end":"21:48","startHours":20.397784025805322,"endHours":21.80734668797141,"quality":"auspicious"},{"name":"Roga","start":"21:48","end":"23:13","startHours":21.80734668797141,"endHours":23.216909350137502,"quality":"inauspicious"},{"name":"Udveg","start":"23:13","end":"00:38","startHours":23.216909350137502,"endHours":24.62647201230359,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:02","startHours":24.62647201230359,"endHours":26.03603467446968,"quality":"neutral"},{"name":"Labha","start":"02:02","end":"03:27","startHours":26.03603467446968,"endHours":27.44559733663577,"quality":"auspicious"},{"name":"Amṛta","start":"03:27","end":"04:51","startHours":27.44559733663577,"endHours":28.85515999880186,"quality":"auspicious"},{"name":"Kāla","start":"04:51","end":"06:16","startHours":28.85515999880186,"endHours":30.264722660967948,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.264722660967949,"endHours":7.264722660967949,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.264722660967949,"endHours":8.264722660967948,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.264722660967948,"endHours":9.264722660967948,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.264722660967948,"endHours":10.264722660967948,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.264722660967948,"endHours":11.264722660967948,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.264722660967948,"endHours":12.264722660967948,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.264722660967948,"endHours":13.264722660967948,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.264722660967948,"endHours":14.264722660967948,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.264722660967948,"endHours":15.264722660967948,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.264722660967948,"endHours":16.264722660967948,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.264722660967948,"endHours":17.264722660967948,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.264722660967948,"endHours":18.264722660967948,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.264722660967948,"endHours":19.264722660967948,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.264722660967948,"endHours":20.264722660967948,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.264722660967948,"endHours":21.264722660967948,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.264722660967948,"endHours":22.264722660967948,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.264722660967948,"endHours":23.264722660967948,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.264722660967948,"endHours":24.264722660967948,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.264722660967948,"endHours":25.264722660967948,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.264722660967948,"endHours":26.264722660967948,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.264722660967948,"endHours":27.264722660967948,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.264722660967948,"endHours":28.264722660967948,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.264722660967948,"endHours":29.264722660967948,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.264722660967948,"endHours":30.264722660967948,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"Saumya","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.724633033061382,"eotMinutes":-4.561520738215509,"ayanamsa":25.3842}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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 August 13, 2109 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 13, 2109 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:16, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2109-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2109-08-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2109-08-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2109-08-13","x-default":"https://vidhyamitra.com/city/kolhapur/2109-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T20:24:50.510Z","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":"2026-05-21T20:24:50.510Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T20:24:50.510Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}