{"id":"vidhyamitra:city-day:kolhapur:2076-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2076-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-12-31","date_display":"December 31, 2076 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":2076,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479668.770833,"kali_year":5178,"ahargana":1891203.2708,"sun":{"sidereal_longitude":254.8763,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":320.0244,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.1481,"elapsed_within_tithi_degrees":5.1481},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.0244,"elapsed_within_degrees":0.0244},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":214.9007},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2076,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479668.770833,"ahargana":1891203.2708,"kali_year":5178,"ayanamsa_lahiri":24.9286,"grahas":{"sun":{"sidereal_longitude":255.30437600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":323.1209759999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-4.4834},"mars":{"sidereal_longitude":285.717576,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":232.15047600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":193.686776,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":237.87237600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":247.52637600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":54.9496,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.9496,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2076,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479668.770833,"kali_year":5178,"ahargana":1891203.2708,"sun":{"sidereal_longitude":254.8763,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":320.0244,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.1481,"elapsed_within_tithi_degrees":5.1481},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.0244,"elapsed_within_degrees":0.0244},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":214.9007},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.483,"elongation":65.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.483,"opposition_distance":114.852}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":-1.026,"elongation":1.327}]},"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":"07:02","sunsetLocal":"18:11","solarNoonLocal":"12:36","dayLengthHours":11.149087137279821,"dayLengthDisplay":"11 Hours 08 Mins 57 Secs","nightLengthDisplay":"12 Hours 51 Mins 03 Secs","moonriseLocal":"11:11","moonsetLocal":"23:04","rahuKala":{"name":"Rāhu Kāla","start":"14:00","end":"15:24","startHours":13.998353140890067,"endHours":15.391989033050045,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:02","end":"08:25","startHours":7.030173680090178,"endHours":8.423809572250157,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:13","startHours":9.817445464410135,"endHours":11.211081356570112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.63162734545547,"endHours":10.003263583364797,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:48","startHours":7.494718977476838,"endHours":7.7920279678043,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"12:59","startHours":12.233081010820763,"endHours":12.976353486639416,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:17","startHours":5.543628728452869,"endHours":6.2869012042715235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"07:02","startHours":6.10108308531686,"endHours":7.030173680090178,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:12","startHours":14.462898438276726,"endHours":15.206170914095381,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.97926081737,"endHours":18.37926081737,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:39","startHours":18.17926081737,"endHours":18.64380611475666,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.92926081737,"endHours":19.67926081737,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"00:59","startHours":24.23308101082076,"endHours":24.976353486639418,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:02","end":"08:25","startHours":7.030173680090178,"endHours":8.423809572250157,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:49","startHours":8.423809572250157,"endHours":9.817445464410135,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:13","startHours":9.817445464410135,"endHours":11.211081356570112,"quality":"inauspicious"},{"name":"Chala","start":"11:13","end":"12:36","startHours":11.211081356570112,"endHours":12.60471724873009,"quality":"neutral"},{"name":"Labha","start":"12:36","end":"14:00","startHours":12.60471724873009,"endHours":13.998353140890067,"quality":"auspicious"},{"name":"Amṛta","start":"14:00","end":"15:24","startHours":13.998353140890067,"endHours":15.391989033050045,"quality":"auspicious"},{"name":"Kāla","start":"15:24","end":"16:47","startHours":15.391989033050045,"endHours":16.785624925210023,"quality":"inauspicious"},{"name":"Śubha","start":"16:47","end":"18:11","startHours":16.785624925210023,"endHours":18.17926081737,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:11","end":"19:47","startHours":18.17926081737,"endHours":19.785624925210023,"quality":"auspicious"},{"name":"Kāla","start":"19:47","end":"21:24","startHours":19.785624925210023,"endHours":21.391989033050045,"quality":"inauspicious"},{"name":"Śubha","start":"21:24","end":"23:00","startHours":21.391989033050045,"endHours":22.998353140890067,"quality":"auspicious"},{"name":"Roga","start":"23:00","end":"00:36","startHours":22.998353140890067,"endHours":24.60471724873009,"quality":"inauspicious"},{"name":"Udveg","start":"00:36","end":"02:13","startHours":24.60471724873009,"endHours":26.211081356570112,"quality":"inauspicious"},{"name":"Chala","start":"02:13","end":"03:49","startHours":26.211081356570112,"endHours":27.817445464410135,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:25","startHours":27.817445464410135,"endHours":29.423809572250157,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:02","startHours":29.423809572250157,"endHours":31.03017368009018,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.030173680090178,"endHours":8.03017368009018,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.03017368009018,"endHours":9.03017368009018,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.03017368009018,"endHours":10.03017368009018,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.03017368009018,"endHours":11.03017368009018,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.03017368009018,"endHours":12.03017368009018,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.03017368009018,"endHours":13.03017368009018,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.03017368009018,"endHours":14.03017368009018,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.03017368009018,"endHours":15.03017368009018,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.03017368009018,"endHours":16.03017368009018,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.03017368009018,"endHours":17.03017368009018,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.03017368009018,"endHours":18.03017368009018,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.03017368009018,"endHours":19.03017368009018,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.03017368009018,"endHours":20.03017368009018,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.03017368009018,"endHours":21.03017368009018,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.03017368009018,"endHours":22.03017368009018,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.03017368009018,"endHours":23.03017368009018,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.03017368009018,"endHours":24.03017368009018,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.03017368009018,"endHours":25.03017368009018,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.03017368009018,"endHours":26.03017368009018,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.03017368009018,"endHours":27.03017368009018,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.03017368009018,"endHours":28.03017368009018,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.03017368009018,"endHours":29.03017368009018,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.03017368009018,"endHours":30.03017368009018,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.03017368009018,"endHours":31.03017368009018,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.042009415952275,"eotMinutes":-3.2562349238053434,"ayanamsa":24.9286}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Ṣaṣṭhī · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 31, 2076 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 31, 2076 CE for Kolhāpur, Maharashtra: Śukla Ṣaṣṭhī, sūryodaya 07:02, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2076-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2076-12-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2076-12-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2076-12-31","x-default":"https://vidhyamitra.com/city/kolhapur/2076-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:51:42.627Z","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":"2026-05-31T17:51:42.627Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:51:42.627Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}