{"id":"vidhyamitra:city-day:kolhapur:2058-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2058-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2058-12-13","date_display":"December 13, 2058 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":2058,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2473075.770833,"kali_year":5160,"ahargana":1884610.2708,"sun":{"sidereal_longitude":236.0379,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":202.0156,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.9776,"elapsed_within_tithi_degrees":1.9776},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.0156,"elapsed_within_degrees":2.0156},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.0535},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2058,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2473075.770833,"ahargana":1884610.2708,"kali_year":5160,"ayanamsa_lahiri":24.6765,"grahas":{"sun":{"sidereal_longitude":236.58617700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":202.616177,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":1.7034},"mars":{"sidereal_longitude":135.744977,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":216.415977,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":348.938377,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":189.42877700000008,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":18.327976999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":44.2785,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.2785,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"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":2058,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2473075.770833,"kali_year":5160,"ahargana":1884610.2708,"sun":{"sidereal_longitude":236.0379,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":202.0156,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.9776,"elapsed_within_tithi_degrees":1.9776},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.0156,"elapsed_within_degrees":2.0156},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.0535},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.703,"elongation":34.022},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.703,"opposition_distance":145.978}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-0.122,"opposition_distance":0.668}]},"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":11.144116401481392,"dayLengthDisplay":"11 Hours 08 Mins 39 Secs","nightLengthDisplay":"12 Hours 51 Mins 21 Secs","moonriseLocal":"04:31","moonsetLocal":"15:54","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:28","startHours":11.072587945657858,"endHours":12.465602495843033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:39","startHours":15.25163159621338,"endHours":16.644646146398554,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:41","startHours":8.28655884528751,"endHours":9.679573395472683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.49383812211466,"endHours":9.865308668830707,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.357882478497394,"endHours":7.655058915870231,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.094131949126984,"endHours":12.837073042559078,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.40766210823815,"endHours":6.150603201670243,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.96486792831222,"endHours":6.893544295102336,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.322955229423265,"endHours":15.065896322855357,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83766069658373,"endHours":18.237660696583728,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.03766069658373,"endHours":18.501998879978785,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78766069658373,"endHours":19.53766069658373,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.094131949126982,"endHours":24.837073042559076,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:54","end":"08:17","startHours":6.893544295102336,"endHours":8.28655884528751,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:41","startHours":8.28655884528751,"endHours":9.679573395472683,"quality":"auspicious"},{"name":"Amṛta","start":"09:41","end":"11:04","startHours":9.679573395472683,"endHours":11.072587945657858,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:28","startHours":11.072587945657858,"endHours":12.465602495843033,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:52","startHours":12.465602495843033,"endHours":13.858617046028206,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:15","startHours":13.858617046028206,"endHours":15.25163159621338,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:39","startHours":15.25163159621338,"endHours":16.644646146398554,"quality":"inauspicious"},{"name":"Chala","start":"16:39","end":"18:02","startHours":16.644646146398554,"endHours":18.03766069658373,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:39","startHours":18.03766069658373,"endHours":19.644646146398554,"quality":"inauspicious"},{"name":"Udveg","start":"19:39","end":"21:15","startHours":19.644646146398554,"endHours":21.25163159621338,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:52","startHours":21.25163159621338,"endHours":22.858617046028208,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:28","startHours":22.858617046028208,"endHours":24.465602495843033,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:04","startHours":24.465602495843033,"endHours":26.072587945657858,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:41","startHours":26.072587945657858,"endHours":27.679573395472683,"quality":"inauspicious"},{"name":"Śubha","start":"03:41","end":"05:17","startHours":27.679573395472683,"endHours":29.28655884528751,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:54","startHours":29.28655884528751,"endHours":30.893544295102338,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.893544295102336,"endHours":7.893544295102336,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.893544295102336,"endHours":8.893544295102336,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.893544295102336,"endHours":9.893544295102336,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.893544295102336,"endHours":10.893544295102336,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.893544295102336,"endHours":11.893544295102336,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.893544295102336,"endHours":12.893544295102336,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.893544295102336,"endHours":13.893544295102336,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.893544295102336,"endHours":14.893544295102336,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.893544295102336,"endHours":15.893544295102336,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.893544295102336,"endHours":16.893544295102338,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.893544295102338,"endHours":17.893544295102338,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.893544295102338,"endHours":18.893544295102338,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.893544295102338,"endHours":19.893544295102338,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.893544295102338,"endHours":20.893544295102338,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.893544295102338,"endHours":21.893544295102338,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.893544295102338,"endHours":22.893544295102338,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.893544295102338,"endHours":23.893544295102338,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.893544295102338,"endHours":24.893544295102338,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.893544295102338,"endHours":25.893544295102338,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.893544295102338,"endHours":26.893544295102338,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.893544295102338,"endHours":27.893544295102338,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.893544295102338,"endHours":28.893544295102338,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.893544295102338,"endHours":29.893544295102338,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.893544295102338,"endHours":30.893544295102338,"planetary_lord":"Mars"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","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":-23.148577431186837,"eotMinutes":5.090650249418121,"ayanamsa":24.6765}},"calendars":{"vikram_samvat":2115,"vikram_samvatsara":"Khara","saka_samvat":1980,"saka_samvatsara":"Bahudhānya","bengali_samvat":1465,"malayalam_era":1234,"nanakshahi_year":589,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Trayodaśī · Vikram 2115 Khara · Śaka 1980 Bahudhānya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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, 2058 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 2058 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2058-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2058-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2058-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2058-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/2058-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:09:48.328Z","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":"2026-06-01T23:09:48.328Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:09:48.328Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}