{"id":"vidhyamitra:city-day:kolhapur:2064-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2064-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-12-13","date_display":"December 13, 2064 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":2064,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475267.770833,"kali_year":5166,"ahargana":1886802.2708,"sun":{"sidereal_longitude":236.4967,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":296.6021,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.1054,"elapsed_within_tithi_degrees":0.1054},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.6021,"elapsed_within_degrees":3.2688},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0988},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2064,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475267.770833,"ahargana":1886802.2708,"kali_year":5166,"ayanamsa_lahiri":24.7603,"grahas":{"sun":{"sidereal_longitude":237.05582600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":297.532426,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":0.6619},"mars":{"sidereal_longitude":184.887926,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":215.12822600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.109326,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":282.631026,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":108.06012599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":288.1358,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":108.1358,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":2064,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475267.770833,"kali_year":5166,"ahargana":1886802.2708,"sun":{"sidereal_longitude":236.4967,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":296.6021,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.1054,"elapsed_within_tithi_degrees":0.1054},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.6021,"elapsed_within_degrees":3.2688},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0988},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.662,"elongation":60.105},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.662,"opposition_distance":119.895}},"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":"06:54","sunsetLocal":"18:02","solarNoonLocal":"12:28","dayLengthHours":11.142471555894236,"dayLengthDisplay":"11 Hours 08 Mins 33 Secs","nightLengthDisplay":"12 Hours 51 Mins 27 Secs","moonriseLocal":"10:45","moonsetLocal":"22:15","rahuKala":{"name":"Rāhu Kāla","start":"09:41","end":"11:04","startHours":9.679984606869471,"endHours":11.072793551356252,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:52","end":"15:15","startHours":13.85841144032981,"endHours":15.251220384816591,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:54","end":"08:17","startHours":6.894366717895912,"endHours":8.287175662382692,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.494276747604568,"endHours":9.865692466134375,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.358636366058172,"endHours":7.655768940882019,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.094186777313224,"endHours":12.837018214372838,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:09","startHours":5.408703843776681,"endHours":6.151535280836296,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.965827421571393,"endHours":6.894366717895912,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.32268108849207,"endHours":15.065512525551686,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83683827379015,"endHours":18.23683827379015,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.03683827379015,"endHours":18.50110792195241,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78683827379015,"endHours":19.53683827379015,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.094186777313222,"endHours":24.837018214372836,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:54","end":"08:17","startHours":6.894366717895912,"endHours":8.287175662382692,"quality":"inauspicious"},{"name":"Śubha","start":"08:17","end":"09:41","startHours":8.287175662382692,"endHours":9.679984606869471,"quality":"auspicious"},{"name":"Roga","start":"09:41","end":"11:04","startHours":9.679984606869471,"endHours":11.072793551356252,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:28","startHours":11.072793551356252,"endHours":12.46560249584303,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"13:52","startHours":12.46560249584303,"endHours":13.85841144032981,"quality":"neutral"},{"name":"Labha","start":"13:52","end":"15:15","startHours":13.85841144032981,"endHours":15.251220384816591,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:39","startHours":15.251220384816591,"endHours":16.64402932930337,"quality":"auspicious"},{"name":"Kāla","start":"16:39","end":"18:02","startHours":16.64402932930337,"endHours":18.03683827379015,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:02","end":"19:39","startHours":18.03683827379015,"endHours":19.64402932930337,"quality":"auspicious"},{"name":"Amṛta","start":"19:39","end":"21:15","startHours":19.64402932930337,"endHours":21.25122038481659,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"22:52","startHours":21.25122038481659,"endHours":22.85841144032981,"quality":"inauspicious"},{"name":"Śubha","start":"22:52","end":"00:28","startHours":22.85841144032981,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.072793551356252,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:41","startHours":26.072793551356252,"endHours":27.67998460686947,"quality":"inauspicious"},{"name":"Chala","start":"03:41","end":"05:17","startHours":27.67998460686947,"endHours":29.287175662382694,"quality":"neutral"},{"name":"Labha","start":"05:17","end":"06:54","startHours":29.287175662382694,"endHours":30.894366717895913,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.894366717895912,"endHours":7.894366717895912,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.894366717895912,"endHours":8.894366717895913,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.894366717895913,"endHours":9.894366717895913,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.894366717895913,"endHours":10.894366717895913,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.894366717895913,"endHours":11.894366717895913,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.894366717895913,"endHours":12.894366717895913,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.894366717895913,"endHours":13.894366717895913,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.894366717895913,"endHours":14.894366717895913,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.894366717895913,"endHours":15.894366717895913,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.894366717895913,"endHours":16.894366717895913,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.894366717895913,"endHours":17.894366717895913,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.894366717895913,"endHours":18.894366717895913,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.894366717895913,"endHours":19.894366717895913,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.894366717895913,"endHours":20.894366717895913,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.894366717895913,"endHours":21.894366717895913,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.894366717895913,"endHours":22.894366717895913,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.894366717895913,"endHours":23.894366717895913,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.894366717895913,"endHours":24.894366717895913,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.894366717895913,"endHours":25.894366717895913,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.894366717895913,"endHours":26.894366717895913,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.894366717895913,"endHours":27.894366717895913,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.894366717895913,"endHours":28.894366717895913,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.894366717895913,"endHours":29.894366717895913,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.894366717895913,"endHours":30.894366717895913,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.183804520054245,"eotMinutes":5.090650249418121,"ayanamsa":24.7603}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 13, 2064 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 2064 CE for Kolhāpur, Maharashtra: Śukla Ṣaṣṭhī, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2064-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2064-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2064-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2064-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/2064-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:27:10.582Z","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":"2026-05-31T20:27:10.582Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:27:10.582Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}