{"id":"vidhyamitra:city-day:kolhapur:2039-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2039-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-21","date_display":"December 21, 2039 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":2039,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466143.770833,"kali_year":5141,"ahargana":1877678.2708,"sun":{"sidereal_longitude":244.1616,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.0609,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.8993,"elapsed_within_tithi_degrees":9.8993},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.0609,"elapsed_within_degrees":7.3943},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.2225},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2039,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466143.770833,"ahargana":1877678.2708,"kali_year":5141,"ayanamsa_lahiri":24.4113,"grahas":{"sun":{"sidereal_longitude":244.59613000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":317.68823,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-4.4613},"mars":{"sidereal_longitude":81.63233000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":235.54633,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":155.54273,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":205.46603000000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":166.02892999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.5692,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.5692,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"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":2039,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466143.770833,"kali_year":5141,"ahargana":1877678.2708,"sun":{"sidereal_longitude":244.1616,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.0609,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.8993,"elapsed_within_tithi_degrees":9.8993},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.0609,"elapsed_within_degrees":7.3943},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.2225},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.461,"elongation":69.899},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.461,"opposition_distance":110.101}},"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":11.130821963561182,"dayLengthDisplay":"11 Hours 07 Mins 51 Secs","nightLengthDisplay":"12 Hours 52 Mins 09 Secs","moonriseLocal":"11:30","moonsetLocal":"23:18","rahuKala":{"name":"Rāhu Kāla","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918755588662776,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:21","end":"09:45","startHours":8.353344606882185,"endHours":9.744697352327334,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:08","end":"12:32","startHours":11.136050097772483,"endHours":12.52740284321763,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:56","startHours":9.559183652934648,"endHours":9.93021105172002,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.425776109918754,"endHours":7.722598028947052,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:54","startHours":12.156375444432257,"endHours":12.898430242003002,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:13","startHours":5.4778822662955475,"endHours":6.219937063866293,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:58","startHours":6.034423364473606,"endHours":6.961991861437038,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.382539837144492,"endHours":15.124594634715237,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.89281382499822,"endHours":18.29281382499822,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.09281382499822,"endHours":18.556598073479936,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.84281382499822,"endHours":19.59281382499822,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:54","startHours":24.156375444432257,"endHours":24.898430242003002,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:58","end":"08:21","startHours":6.961991861437038,"endHours":8.353344606882185,"quality":"auspicious"},{"name":"Amṛta","start":"08:21","end":"09:45","startHours":8.353344606882185,"endHours":9.744697352327334,"quality":"auspicious"},{"name":"Kāla","start":"09:45","end":"11:08","startHours":9.744697352327334,"endHours":11.136050097772483,"quality":"inauspicious"},{"name":"Śubha","start":"11:08","end":"12:32","startHours":11.136050097772483,"endHours":12.52740284321763,"quality":"auspicious"},{"name":"Roga","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918755588662776,"quality":"inauspicious"},{"name":"Udveg","start":"13:55","end":"15:19","startHours":13.918755588662776,"endHours":15.310108334107925,"quality":"inauspicious"},{"name":"Chala","start":"15:19","end":"16:42","startHours":15.310108334107925,"endHours":16.701461079553074,"quality":"neutral"},{"name":"Labha","start":"16:42","end":"18:06","startHours":16.701461079553074,"endHours":18.09281382499822,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:06","end":"19:42","startHours":18.09281382499822,"endHours":19.701461079553074,"quality":"inauspicious"},{"name":"Chala","start":"19:42","end":"21:19","startHours":19.701461079553074,"endHours":21.310108334107923,"quality":"neutral"},{"name":"Labha","start":"21:19","end":"22:55","startHours":21.310108334107923,"endHours":22.918755588662776,"quality":"auspicious"},{"name":"Amṛta","start":"22:55","end":"00:32","startHours":22.918755588662776,"endHours":24.52740284321763,"quality":"auspicious"},{"name":"Kāla","start":"00:32","end":"02:08","startHours":24.52740284321763,"endHours":26.136050097772483,"quality":"inauspicious"},{"name":"Śubha","start":"02:08","end":"03:45","startHours":26.136050097772483,"endHours":27.744697352327336,"quality":"auspicious"},{"name":"Roga","start":"03:45","end":"05:21","startHours":27.744697352327336,"endHours":29.353344606882185,"quality":"inauspicious"},{"name":"Udveg","start":"05:21","end":"06:58","startHours":29.353344606882185,"endHours":30.96199186143704,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.961991861437038,"endHours":7.961991861437038,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.961991861437038,"endHours":8.961991861437038,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.961991861437038,"endHours":9.961991861437038,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.961991861437038,"endHours":10.961991861437038,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.961991861437038,"endHours":11.961991861437038,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.961991861437038,"endHours":12.961991861437038,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.961991861437038,"endHours":13.961991861437038,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.961991861437038,"endHours":14.961991861437038,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.961991861437038,"endHours":15.961991861437038,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.961991861437038,"endHours":16.96199186143704,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.96199186143704,"endHours":17.96199186143704,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.96199186143704,"endHours":18.96199186143704,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.96199186143704,"endHours":19.96199186143704,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.96199186143704,"endHours":20.96199186143704,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.96199186143704,"endHours":21.96199186143704,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.96199186143704,"endHours":22.96199186143704,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.96199186143704,"endHours":23.96199186143704,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.96199186143704,"endHours":24.96199186143704,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.96199186143704,"endHours":25.96199186143704,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.96199186143704,"endHours":26.96199186143704,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.96199186143704,"endHours":27.96199186143704,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.96199186143704,"endHours":28.96199186143704,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.96199186143704,"endHours":29.96199186143704,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.96199186143704,"endHours":30.96199186143704,"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","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":-23.432773192494743,"eotMinutes":1.382629406942221,"ayanamsa":24.4113}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":"Dedicated festival walk for Skanda Ṣaṣṭhī is not live yet; 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 December 21, 2039 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 21, 2039 CE for Kolhāpur, Maharashtra: Śukla Ṣaṣṭhī, sūryodaya 06:58, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2039-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2039-12-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2039-12-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2039-12-21","x-default":"https://vidhyamitra.com/city/kolhapur/2039-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T07:04:15.397Z","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":"2026-09-22T07:04:15.397Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T07:04:15.397Z","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"}}}