{"id":"vidhyamitra:city-day:kolhapur:2041-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2041-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-10-21","date_display":"October 21, 2041 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":2041,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466813.770833,"kali_year":5143,"ahargana":1878348.2708,"sun":{"sidereal_longitude":182.7611,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":136.8047,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.0436,"elapsed_within_tithi_degrees":2.0436},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":136.8047,"elapsed_within_degrees":3.4713},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.5658},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2041,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466813.770833,"ahargana":1878348.2708,"kali_year":5143,"ayanamsa_lahiri":24.437,"grahas":{"sun":{"sidereal_longitude":183.58373099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":139.35513100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":3.8669},"mars":{"sidereal_longitude":101.535931,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":164.855731,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":194.51173100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":165.24173099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":182.17783099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":16.0694,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":196.0694,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2041,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466813.770833,"kali_year":5143,"ahargana":1878348.2708,"sun":{"sidereal_longitude":182.7611,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":136.8047,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.0436,"elapsed_within_tithi_degrees":2.0436},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":136.8047,"elapsed_within_degrees":3.4713},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.5658},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.867,"elongation":45.956},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.867,"opposition_distance":134.044}},"eclipse_window_40days":[{"offset_days":4,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.191},{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":0.412,"opposition_distance":0.442}]},"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":"06:27","sunsetLocal":"18:08","solarNoonLocal":"12:17","dayLengthHours":11.681875814985169,"dayLengthDisplay":"11 Hours 40 Mins 55 Secs","nightLengthDisplay":"12 Hours 19 Mins 05 Secs","moonriseLocal":"03:10","moonsetLocal":"15:30","rahuKala":{"name":"Rāhu Kāla","start":"07:54","end":"09:22","startHours":7.905919559935482,"endHours":9.366154036808627,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:50","end":"12:17","startHours":10.826388513681774,"endHours":12.286622990554921,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:45","end":"15:12","startHours":13.746857467428066,"endHours":15.207091944301212,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.171456106558875,"endHours":9.560851967058381,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:15","startHours":6.932429908686718,"endHours":7.243946597086323,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:41","startHours":11.897227130055416,"endHours":12.676018851054426,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:40","startHours":4.888101641064313,"endHours":5.666893362063324,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:27","startHours":5.472195431813572,"endHours":6.445685083062336,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.23360229305245,"endHours":15.012394014051461,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.927560898047506,"endHours":18.327560898047505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:37","startHours":18.127560898047506,"endHours":18.614305723671887,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.877560898047506,"endHours":19.627560898047506,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:41","startHours":23.897227130055416,"endHours":24.676018851054426,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:27","end":"07:54","startHours":6.445685083062336,"endHours":7.905919559935482,"quality":"auspicious"},{"name":"Kāla","start":"07:54","end":"09:22","startHours":7.905919559935482,"endHours":9.366154036808627,"quality":"inauspicious"},{"name":"Śubha","start":"09:22","end":"10:50","startHours":9.366154036808627,"endHours":10.826388513681774,"quality":"auspicious"},{"name":"Roga","start":"10:50","end":"12:17","startHours":10.826388513681774,"endHours":12.286622990554921,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:45","startHours":12.286622990554921,"endHours":13.746857467428066,"quality":"inauspicious"},{"name":"Chala","start":"13:45","end":"15:12","startHours":13.746857467428066,"endHours":15.207091944301212,"quality":"neutral"},{"name":"Labha","start":"15:12","end":"16:40","startHours":15.207091944301212,"endHours":16.66732642117436,"quality":"auspicious"},{"name":"Amṛta","start":"16:40","end":"18:08","startHours":16.66732642117436,"endHours":18.127560898047506,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:40","startHours":18.127560898047506,"endHours":19.66732642117436,"quality":"neutral"},{"name":"Labha","start":"19:40","end":"21:12","startHours":19.66732642117436,"endHours":21.20709194430121,"quality":"auspicious"},{"name":"Amṛta","start":"21:12","end":"22:45","startHours":21.20709194430121,"endHours":22.746857467428068,"quality":"auspicious"},{"name":"Kāla","start":"22:45","end":"00:17","startHours":22.746857467428068,"endHours":24.28662299055492,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:50","startHours":24.28662299055492,"endHours":25.826388513681774,"quality":"auspicious"},{"name":"Roga","start":"01:50","end":"03:22","startHours":25.826388513681774,"endHours":27.36615403680863,"quality":"inauspicious"},{"name":"Udveg","start":"03:22","end":"04:54","startHours":27.36615403680863,"endHours":28.905919559935484,"quality":"inauspicious"},{"name":"Chala","start":"04:54","end":"06:27","startHours":28.905919559935484,"endHours":30.445685083062337,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.445685083062336,"endHours":7.445685083062336,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.445685083062336,"endHours":8.445685083062337,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.445685083062337,"endHours":9.445685083062337,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.445685083062337,"endHours":10.445685083062337,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.445685083062337,"endHours":11.445685083062337,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.445685083062337,"endHours":12.445685083062337,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.445685083062337,"endHours":13.445685083062337,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.445685083062337,"endHours":14.445685083062337,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.445685083062337,"endHours":15.445685083062337,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.445685083062337,"endHours":16.445685083062337,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.445685083062337,"endHours":17.445685083062337,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.445685083062337,"endHours":18.445685083062337,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.445685083062337,"endHours":19.445685083062337,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.445685083062337,"endHours":20.445685083062337,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.445685083062337,"endHours":21.445685083062337,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.445685083062337,"endHours":22.445685083062337,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.445685083062337,"endHours":23.445685083062337,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.445685083062337,"endHours":24.445685083062337,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.445685083062337,"endHours":25.445685083062337,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.445685083062337,"endHours":26.445685083062337,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.445685083062337,"endHours":27.445685083062337,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.445685083062337,"endHours":28.445685083062337,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.445685083062337,"endHours":29.445685083062337,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.445685083062337,"endHours":30.445685083062337,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.769076610864824,"eotMinutes":15.829420566704727,"ayanamsa":24.437}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvādaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"govatsa-dwadashi","name":"Govatsa Dvādaśī (Vaccha Bāras)","name_sanskrit":"गोवत्स द्वादशी","tradition":"Vaishnava","associated_deity":"Krishna + Gomātā","significance":"Worship of cow + calf; pre-Diwali day.","vrata":true,"detection":{"tithi_number":27,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 October 21, 2041 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 21, 2041 CE for Kolhāpur, Maharashtra: Kṛṣṇa Dvādaśī, sūryodaya 06:27, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2041-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2041-10-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2041-10-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2041-10-21","x-default":"https://vidhyamitra.com/city/kolhapur/2041-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T08:21:37.166Z","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":"2026-06-02T08:21:37.166Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T08:21:37.166Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}