{"id":"vidhyamitra:city-day:kolhapur:2121-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2121-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-08-20","date_display":"August 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495970.770833,"kali_year":5223,"ahargana":1907505.2708,"sun":{"sidereal_longitude":120.6235,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":198.8331,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.2096,"elapsed_within_tithi_degrees":6.2096},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":198.8331,"elapsed_within_degrees":12.1665},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4566},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495970.770833,"ahargana":1907505.2708,"kali_year":5223,"ayanamsa_lahiri":25.5521,"grahas":{"sun":{"sidereal_longitude":121.54701899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":195.584119,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-4.288},"mars":{"sidereal_longitude":170.188219,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":147.136619,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":107.45841899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":92.135019,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":77.354219,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.1912,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.1912,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495970.770833,"kali_year":5223,"ahargana":1907505.2708,"sun":{"sidereal_longitude":120.6235,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":198.8331,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.2096,"elapsed_within_tithi_degrees":6.2096},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":198.8331,"elapsed_within_degrees":12.1665},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4566},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.288,"elongation":78.21},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.288,"opposition_distance":101.79}},"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":"06:17","sunsetLocal":"18:55","solarNoonLocal":"12:36","dayLengthHours":12.626759758270337,"dayLengthDisplay":"12 Hours 37 Mins 36 Secs","nightLengthDisplay":"11 Hours 22 Mins 24 Secs","moonriseLocal":"11:48","moonsetLocal":"23:16","rahuKala":{"name":"Rāhu Kāla","start":"12:36","end":"14:11","startHours":12.60128018184217,"endHours":14.179625151625963,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:27","startHours":7.866245272490795,"endHours":9.444590242274588,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:01","end":"12:36","startHours":11.022935212058378,"endHours":12.60128018184217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.234144246303416,"endHours":9.65503623824576,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:09","startHours":6.8140152926349336,"endHours":7.150728886188809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"13:01","startHours":12.180388189899826,"endHours":13.022172173784515,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:27","startHours":4.604332334937625,"endHours":5.446116318822314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:17","startHours":5.235670322851142,"endHours":6.287900302707003,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:33","startHours":14.705740141553894,"endHours":15.547524125438583,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.71466006097734,"endHours":19.11466006097734,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:26","startHours":18.91466006097734,"endHours":19.44077505090527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.66466006097734,"endHours":20.41466006097734,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"01:01","startHours":24.180388189899826,"endHours":25.022172173784515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:17","end":"07:52","startHours":6.287900302707003,"endHours":7.866245272490795,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:27","startHours":7.866245272490795,"endHours":9.444590242274588,"quality":"auspicious"},{"name":"Kāla","start":"09:27","end":"11:01","startHours":9.444590242274588,"endHours":11.022935212058378,"quality":"inauspicious"},{"name":"Śubha","start":"11:01","end":"12:36","startHours":11.022935212058378,"endHours":12.60128018184217,"quality":"auspicious"},{"name":"Roga","start":"12:36","end":"14:11","startHours":12.60128018184217,"endHours":14.179625151625963,"quality":"inauspicious"},{"name":"Udveg","start":"14:11","end":"15:45","startHours":14.179625151625963,"endHours":15.757970121409755,"quality":"inauspicious"},{"name":"Chala","start":"15:45","end":"17:20","startHours":15.757970121409755,"endHours":17.336315091193548,"quality":"neutral"},{"name":"Labha","start":"17:20","end":"18:55","startHours":17.336315091193548,"endHours":18.91466006097734,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:20","startHours":18.91466006097734,"endHours":20.336315091193548,"quality":"inauspicious"},{"name":"Chala","start":"20:20","end":"21:45","startHours":20.336315091193548,"endHours":21.757970121409755,"quality":"neutral"},{"name":"Labha","start":"21:45","end":"23:11","startHours":21.757970121409755,"endHours":23.179625151625963,"quality":"auspicious"},{"name":"Amṛta","start":"23:11","end":"00:36","startHours":23.179625151625963,"endHours":24.60128018184217,"quality":"auspicious"},{"name":"Kāla","start":"00:36","end":"02:01","startHours":24.60128018184217,"endHours":26.02293521205838,"quality":"inauspicious"},{"name":"Śubha","start":"02:01","end":"03:27","startHours":26.02293521205838,"endHours":27.444590242274586,"quality":"auspicious"},{"name":"Roga","start":"03:27","end":"04:52","startHours":27.444590242274586,"endHours":28.866245272490794,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:17","startHours":28.866245272490794,"endHours":30.287900302707,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.287900302707003,"endHours":7.287900302707003,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.287900302707003,"endHours":8.287900302707003,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.287900302707003,"endHours":9.287900302707003,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.287900302707003,"endHours":10.287900302707003,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.287900302707003,"endHours":11.287900302707003,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.287900302707003,"endHours":12.287900302707003,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.287900302707003,"endHours":13.287900302707003,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.287900302707003,"endHours":14.287900302707003,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.287900302707003,"endHours":15.287900302707003,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.287900302707003,"endHours":16.287900302707,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.287900302707,"endHours":17.287900302707,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.287900302707,"endHours":18.287900302707,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.287900302707,"endHours":19.287900302707,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.287900302707,"endHours":20.287900302707,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.287900302707,"endHours":21.287900302707,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.287900302707,"endHours":22.287900302707,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.287900302707,"endHours":23.287900302707,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.287900302707,"endHours":24.287900302707,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.287900302707,"endHours":25.287900302707,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.287900302707,"endHours":26.287900302707,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.287900302707,"endHours":27.287900302707,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.287900302707,"endHours":28.287900302707,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.287900302707,"endHours":29.287900302707,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.287900302707,"endHours":30.287900302707,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.476739421975013,"eotMinutes":-3.0500109105302213,"ayanamsa":25.5521}},"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 Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · 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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 20, 2121 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 20, 2121 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:17, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-08-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-08-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-08-20","x-default":"https://vidhyamitra.com/city/kolhapur/2121-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T16:26:19.844Z","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":"2026-05-22T16:26:19.844Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T16:26:19.844Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}