{"id":"vidhyamitra:city-day:kolhapur:2121-09-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2121-09-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-09-03","date_display":"September 3, 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":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495984.770833,"kali_year":5223,"ahargana":1907519.2708,"sun":{"sidereal_longitude":134.0678,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.9304,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.8626,"elapsed_within_tithi_degrees":2.8626},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.9304,"elapsed_within_degrees":2.2638},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.9983},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":9,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495984.770833,"ahargana":1907519.2708,"kali_year":5223,"ayanamsa_lahiri":25.5527,"grahas":{"sun":{"sidereal_longitude":135.050184,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":33.13608399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":3.9545},"mars":{"sidereal_longitude":179.187684,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":156.73258399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":110.47248400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":109.13978400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.736784,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":270.4494,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.4494,"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":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495984.770833,"kali_year":5223,"ahargana":1907519.2708,"sun":{"sidereal_longitude":134.0678,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.9304,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":254.8626,"elapsed_within_tithi_degrees":2.8626},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.9304,"elapsed_within_degrees":2.2638},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.9983},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.954,"elongation":105.137},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.954,"opposition_distance":74.863}},"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":"18:45","solarNoonLocal":"12:32","dayLengthHours":12.422718249397048,"dayLengthDisplay":"12 Hours 25 Mins 22 Secs","nightLengthDisplay":"11 Hours 34 Mins 38 Secs","moonriseLocal":"23:17","moonsetLocal":"12:12","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"14:05","startHours":12.531238598324059,"endHours":14.084078379498692,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:26","startHours":7.872719254800167,"endHours":9.425559035974798,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:32","startHours":10.97839881714943,"endHours":12.531238598324059,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:38","startHours":9.218513731818181,"endHours":9.632604340131415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:10","startHours":6.837492734017079,"endHours":7.168765220667667,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:57","startHours":12.117147990010825,"endHours":12.945329206637293,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:30","startHours":4.663517040372596,"endHours":5.491698256999065,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.284652952842448,"endHours":6.3198794736255355,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:26","startHours":14.601691639890236,"endHours":15.429872856516706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.542597723022585,"endHours":18.942597723022583,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:16","startHours":18.742597723022584,"endHours":19.260210983414126,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.492597723022584,"endHours":20.242597723022584,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:57","startHours":24.117147990010825,"endHours":24.945329206637293,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:19","end":"07:52","startHours":6.3198794736255355,"endHours":7.872719254800167,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:26","startHours":7.872719254800167,"endHours":9.425559035974798,"quality":"auspicious"},{"name":"Kāla","start":"09:26","end":"10:59","startHours":9.425559035974798,"endHours":10.97839881714943,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:32","startHours":10.97839881714943,"endHours":12.531238598324059,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"14:05","startHours":12.531238598324059,"endHours":14.084078379498692,"quality":"inauspicious"},{"name":"Udveg","start":"14:05","end":"15:38","startHours":14.084078379498692,"endHours":15.636918160673321,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:11","startHours":15.636918160673321,"endHours":17.18975794184795,"quality":"neutral"},{"name":"Labha","start":"17:11","end":"18:45","startHours":17.18975794184795,"endHours":18.742597723022584,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:45","end":"20:11","startHours":18.742597723022584,"endHours":20.189757941847954,"quality":"inauspicious"},{"name":"Chala","start":"20:11","end":"21:38","startHours":20.189757941847954,"endHours":21.63691816067332,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"23:05","startHours":21.63691816067332,"endHours":23.084078379498692,"quality":"auspicious"},{"name":"Amṛta","start":"23:05","end":"00:32","startHours":23.084078379498692,"endHours":24.53123859832406,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"01:59","startHours":24.53123859832406,"endHours":25.97839881714943,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:26","startHours":25.97839881714943,"endHours":27.4255590359748,"quality":"auspicious"},{"name":"Roga","start":"03:26","end":"04:52","startHours":27.4255590359748,"endHours":28.872719254800167,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:19","startHours":28.872719254800167,"endHours":30.319879473625534,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.3198794736255355,"endHours":7.3198794736255355,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.3198794736255355,"endHours":8.319879473625535,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.319879473625535,"endHours":9.319879473625535,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.319879473625535,"endHours":10.319879473625535,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.319879473625535,"endHours":11.319879473625535,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.319879473625535,"endHours":12.319879473625535,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.319879473625535,"endHours":13.319879473625535,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.319879473625535,"endHours":14.319879473625535,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.319879473625535,"endHours":15.319879473625535,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.319879473625535,"endHours":16.319879473625534,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.319879473625534,"endHours":17.319879473625534,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.319879473625534,"endHours":18.319879473625534,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.319879473625534,"endHours":19.319879473625534,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.319879473625534,"endHours":20.319879473625534,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.319879473625534,"endHours":21.319879473625534,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.319879473625534,"endHours":22.319879473625534,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.319879473625534,"endHours":23.319879473625534,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.319879473625534,"endHours":24.319879473625534,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.319879473625534,"endHours":25.319879473625534,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.319879473625534,"endHours":26.319879473625534,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.319879473625534,"endHours":27.319879473625534,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.319879473625534,"endHours":28.319879473625534,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.319879473625534,"endHours":29.319879473625534,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.319879473625534,"endHours":30.319879473625534,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.5905197881114725,"eotMinutes":1.1524841005564963,"ayanamsa":25.5527}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 September 3, 2121 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 3, 2121 CE for Kolhāpur, Maharashtra: Kṛṣṇa Saptamī, sūryodaya 06:19, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-09-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-09-03","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-09-03","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-09-03","x-default":"https://vidhyamitra.com/city/kolhapur/2121-09-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:27:39.997Z","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":"2026-05-31T14:27:39.997Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:27:39.997Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}