{"id":"vidhyamitra:city-day:kolhapur:2040-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2040-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-21","date_display":"December 21, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466509.770833,"kali_year":5142,"ahargana":1878044.2708,"sun":{"sidereal_longitude":244.9229,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":95.984,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0611,"elapsed_within_tithi_degrees":7.0611},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.984,"elapsed_within_degrees":2.6506},"yoga":{"number":26,"name":"Indra","sum_longitude":340.9069},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466509.770833,"ahargana":1878044.2708,"kali_year":5142,"ayanamsa_lahiri":24.4253,"grahas":{"sun":{"sidereal_longitude":245.352846,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":93.315046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.0371},"mars":{"sidereal_longitude":243.85684600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":248.52184599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":182.390846,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":291.285346,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":177.68384600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":32.1767,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.1767,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466509.770833,"kali_year":5142,"ahargana":1878044.2708,"sun":{"sidereal_longitude":244.9229,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":95.984,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0611,"elapsed_within_tithi_degrees":7.0611},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":95.984,"elapsed_within_degrees":2.6506},"yoga":{"number":26,"name":"Indra","sum_longitude":340.9069},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.037,"elongation":148.939},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.037,"opposition_distance":31.061}},"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":"06:58","sunsetLocal":"18:06","solarNoonLocal":"12:32","dayLengthHours":11.130655980598675,"dayLengthDisplay":"11 Hours 07 Mins 50 Secs","nightLengthDisplay":"12 Hours 52 Mins 10 Secs","moonriseLocal":"19:55","moonsetLocal":"08:52","rahuKala":{"name":"Rāhu Kāla","start":"11:08","end":"12:32","startHours":11.136070845642795,"endHours":12.52740284321763,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:19","end":"16:42","startHours":15.310066838367298,"endHours":16.701398835942133,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:21","end":"09:45","startHours":8.353406850493126,"endHours":9.74473884806796,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:56","startHours":9.559227915057983,"endHours":9.93024978107794,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.4258521854432376,"endHours":7.722669678259202,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:54","startHours":12.156380977197674,"endHours":12.898424709237585,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:13","startHours":5.47798738883847,"endHours":6.220031120878381,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:58","startHours":6.034520187868403,"endHours":6.962074852918293,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.382512173317409,"endHours":15.12455590535732,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.892730833516968,"endHours":18.292730833516966,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.092730833516967,"endHours":18.556508166041912,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.842730833516967,"endHours":19.592730833516967,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:54","startHours":24.156380977197674,"endHours":24.898424709237585,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:58","end":"08:21","startHours":6.962074852918293,"endHours":8.353406850493126,"quality":"neutral"},{"name":"Labha","start":"08:21","end":"09:45","startHours":8.353406850493126,"endHours":9.74473884806796,"quality":"auspicious"},{"name":"Amṛta","start":"09:45","end":"11:08","startHours":9.74473884806796,"endHours":11.136070845642795,"quality":"auspicious"},{"name":"Kāla","start":"11:08","end":"12:32","startHours":11.136070845642795,"endHours":12.52740284321763,"quality":"inauspicious"},{"name":"Śubha","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918734840792464,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:19","startHours":13.918734840792464,"endHours":15.310066838367298,"quality":"inauspicious"},{"name":"Udveg","start":"15:19","end":"16:42","startHours":15.310066838367298,"endHours":16.701398835942133,"quality":"inauspicious"},{"name":"Chala","start":"16:42","end":"18:06","startHours":16.701398835942133,"endHours":18.092730833516967,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:06","end":"19:42","startHours":18.092730833516967,"endHours":19.701398835942133,"quality":"inauspicious"},{"name":"Udveg","start":"19:42","end":"21:19","startHours":19.701398835942133,"endHours":21.310066838367298,"quality":"inauspicious"},{"name":"Chala","start":"21:19","end":"22:55","startHours":21.310066838367298,"endHours":22.918734840792464,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:32","startHours":22.918734840792464,"endHours":24.52740284321763,"quality":"auspicious"},{"name":"Amṛta","start":"00:32","end":"02:08","startHours":24.52740284321763,"endHours":26.136070845642795,"quality":"auspicious"},{"name":"Kāla","start":"02:08","end":"03:45","startHours":26.136070845642795,"endHours":27.74473884806796,"quality":"inauspicious"},{"name":"Śubha","start":"03:45","end":"05:21","startHours":27.74473884806796,"endHours":29.353406850493126,"quality":"auspicious"},{"name":"Roga","start":"05:21","end":"06:58","startHours":29.353406850493126,"endHours":30.962074852918292,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.962074852918293,"endHours":7.962074852918293,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.962074852918293,"endHours":8.962074852918292,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.962074852918292,"endHours":9.962074852918292,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.962074852918292,"endHours":10.962074852918292,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.962074852918292,"endHours":11.962074852918292,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.962074852918292,"endHours":12.962074852918292,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.962074852918292,"endHours":13.962074852918292,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.962074852918292,"endHours":14.962074852918292,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.962074852918292,"endHours":15.962074852918292,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.962074852918292,"endHours":16.962074852918292,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.962074852918292,"endHours":17.962074852918292,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.962074852918292,"endHours":18.962074852918292,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.962074852918292,"endHours":19.962074852918292,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.962074852918292,"endHours":20.962074852918292,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.962074852918292,"endHours":21.962074852918292,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.962074852918292,"endHours":22.962074852918292,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.962074852918292,"endHours":23.962074852918292,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.962074852918292,"endHours":24.962074852918292,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.962074852918292,"endHours":25.962074852918292,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.962074852918292,"endHours":26.962074852918292,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.962074852918292,"endHours":27.962074852918292,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.962074852918292,"endHours":28.962074852918292,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.962074852918292,"endHours":29.962074852918292,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.962074852918292,"endHours":30.962074852918292,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.436313806149144,"eotMinutes":1.382629406942221,"ayanamsa":24.4253}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 December 21, 2040 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 21, 2040 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:58, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2040-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2040-12-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2040-12-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2040-12-21","x-default":"https://vidhyamitra.com/city/kolhapur/2040-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T14:04:38.526Z","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":"2026-09-22T14:04:38.526Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T14:04:38.526Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}