{"id":"vidhyamitra:city-day:kolhapur:2040-09-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2040-09-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-09-03","date_display":"September 3, 2040 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":2040,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466400.770833,"kali_year":5142,"ahargana":1877935.2708,"sun":{"sidereal_longitude":135.9575,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":94.6579,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.7004,"elapsed_within_tithi_degrees":6.7004},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.6579,"elapsed_within_degrees":1.3246},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.6154},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2040,"month":9,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466400.770833,"ahargana":1877935.2708,"kali_year":5142,"ayanamsa_lahiri":24.4212,"grahas":{"sun":{"sidereal_longitude":136.749411,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":96.81771100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":3.7602},"mars":{"sidereal_longitude":167.51111100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":153.79231100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.47791099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":161.79101100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.738611,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":37.9521,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":217.9521,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":9,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466400.770833,"kali_year":5142,"ahargana":1877935.2708,"sun":{"sidereal_longitude":135.9575,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":94.6579,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.7004,"elapsed_within_tithi_degrees":6.7004},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.6579,"elapsed_within_degrees":1.3246},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.6154},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.76,"elongation":41.3},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.76,"opposition_distance":138.7}},"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":"18:44","solarNoonLocal":"12:32","dayLengthHours":12.413888112257304,"dayLengthDisplay":"12 Hours 24 Mins 50 Secs","nightLengthDisplay":"11 Hours 35 Mins 10 Secs","moonriseLocal":"03:25","moonsetLocal":"16:20","rahuKala":{"name":"Rāhu Kāla","start":"07:53","end":"09:26","startHours":7.876030556227569,"endHours":9.427766570259731,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:59","end":"12:32","startHours":10.979502584291895,"endHours":12.531238598324059,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:05","end":"15:38","startHours":14.082974612356221,"endHours":15.634710626388383,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:38","startHours":9.220868435055444,"endHours":9.63466470546402,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:10","startHours":6.841539880206127,"endHours":7.172576896532988,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:57","startHours":12.117442327915482,"endHours":12.945034868732636,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:40","end":"05:30","startHours":4.669109460561099,"endHours":5.496702001378252,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.289803866173964,"endHours":6.324294542195406,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:26","startHours":14.600219950366942,"endHours":15.427812491184095,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.53818265445271,"endHours":18.93818265445271,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:15","startHours":18.73818265445271,"endHours":19.25542799246343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.48818265445271,"endHours":20.23818265445271,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:57","startHours":24.117442327915484,"endHours":24.945034868732634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:19","end":"07:53","startHours":6.324294542195406,"endHours":7.876030556227569,"quality":"auspicious"},{"name":"Kāla","start":"07:53","end":"09:26","startHours":7.876030556227569,"endHours":9.427766570259731,"quality":"inauspicious"},{"name":"Śubha","start":"09:26","end":"10:59","startHours":9.427766570259731,"endHours":10.979502584291895,"quality":"auspicious"},{"name":"Roga","start":"10:59","end":"12:32","startHours":10.979502584291895,"endHours":12.531238598324059,"quality":"inauspicious"},{"name":"Udveg","start":"12:32","end":"14:05","startHours":12.531238598324059,"endHours":14.082974612356221,"quality":"inauspicious"},{"name":"Chala","start":"14:05","end":"15:38","startHours":14.082974612356221,"endHours":15.634710626388383,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:11","startHours":15.634710626388383,"endHours":17.18644664042055,"quality":"auspicious"},{"name":"Amṛta","start":"17:11","end":"18:44","startHours":17.18644664042055,"endHours":18.73818265445271,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:44","end":"20:11","startHours":18.73818265445271,"endHours":20.18644664042055,"quality":"neutral"},{"name":"Labha","start":"20:11","end":"21:38","startHours":20.18644664042055,"endHours":21.634710626388383,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"23:05","startHours":21.634710626388383,"endHours":23.08297461235622,"quality":"auspicious"},{"name":"Kāla","start":"23:05","end":"00:32","startHours":23.08297461235622,"endHours":24.53123859832406,"quality":"inauspicious"},{"name":"Śubha","start":"00:32","end":"01:59","startHours":24.53123859832406,"endHours":25.979502584291897,"quality":"auspicious"},{"name":"Roga","start":"01:59","end":"03:26","startHours":25.979502584291897,"endHours":27.427766570259735,"quality":"inauspicious"},{"name":"Udveg","start":"03:26","end":"04:53","startHours":27.427766570259735,"endHours":28.87603055622757,"quality":"inauspicious"},{"name":"Chala","start":"04:53","end":"06:19","startHours":28.87603055622757,"endHours":30.324294542195407,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.324294542195406,"endHours":7.324294542195406,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.324294542195406,"endHours":8.324294542195407,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.324294542195407,"endHours":9.324294542195407,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.324294542195407,"endHours":10.324294542195407,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.324294542195407,"endHours":11.324294542195407,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.324294542195407,"endHours":12.324294542195407,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.324294542195407,"endHours":13.324294542195407,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.324294542195407,"endHours":14.324294542195407,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.324294542195407,"endHours":15.324294542195407,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.324294542195407,"endHours":16.324294542195407,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.324294542195407,"endHours":17.324294542195407,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.324294542195407,"endHours":18.324294542195407,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.324294542195407,"endHours":19.324294542195407,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.324294542195407,"endHours":20.324294542195407,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.324294542195407,"endHours":21.324294542195407,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.324294542195407,"endHours":22.324294542195407,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.324294542195407,"endHours":23.324294542195407,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.324294542195407,"endHours":24.324294542195407,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.324294542195407,"endHours":25.324294542195407,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.324294542195407,"endHours":26.324294542195407,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.324294542195407,"endHours":27.324294542195407,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.324294542195407,"endHours":28.324294542195407,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.324294542195407,"endHours":29.324294542195407,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.324294542195407,"endHours":30.324294542195407,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":7.375332302008183,"eotMinutes":1.1524841005564963,"ayanamsa":24.4212}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Dvādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"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 September 3, 2040 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 3, 2040 CE for Kolhāpur, Maharashtra: Kṛṣṇa Dvādaśī, sūryodaya 06:19, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2040-09-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2040-09-03","sa":"https://sa.vidhyamitra.com/city/kolhapur/2040-09-03","hi":"https://hi.vidhyamitra.com/city/kolhapur/2040-09-03","x-default":"https://vidhyamitra.com/city/kolhapur/2040-09-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:24:38.541Z","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":"2026-06-01T21:24:38.541Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:24:38.541Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}