{"id":"vidhyamitra:city-day:kolhapur:2081-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2081-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2081-10-30","date_display":"October 30, 2081 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":2081,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481432.770833,"kali_year":5183,"ahargana":1892967.2708,"sun":{"sidereal_longitude":191.409,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":164.7362,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.3272,"elapsed_within_tithi_degrees":9.3272},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.7362,"elapsed_within_degrees":4.7362},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.1453},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2081,"month":10,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481432.770833,"ahargana":1892967.2708,"kali_year":5183,"ayanamsa_lahiri":24.9961,"grahas":{"sun":{"sidereal_longitude":192.300478,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":163.47427800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-1.7749},"mars":{"sidereal_longitude":164.58367799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":182.56927800000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":322.671378,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":178.733478,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":295.155178,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":321.4844,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.4844,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2081,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481432.770833,"kali_year":5183,"ahargana":1892967.2708,"sun":{"sidereal_longitude":191.409,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":164.7362,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.3272,"elapsed_within_tithi_degrees":9.3272},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.7362,"elapsed_within_degrees":4.7362},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.1453},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.775,"elongation":26.673},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.775,"opposition_distance":153.327}},"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":"06:30","sunsetLocal":"18:03","solarNoonLocal":"12:17","dayLengthHours":11.549898436891398,"dayLengthDisplay":"11 Hours 33 Mins 00 Secs","nightLengthDisplay":"12 Hours 27 Mins 00 Secs","moonriseLocal":"04:23","moonsetLocal":"16:20","rahuKala":{"name":"Rāhu Kāla","start":"13:43","end":"15:10","startHours":13.720020406790326,"endHours":15.16375771140175,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"07:57","startHours":6.501333883733201,"endHours":7.945071188344626,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:23","end":"10:50","startHours":9.38880849295605,"endHours":10.832545797567477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:35","startHours":9.196310185674527,"endHours":9.581306800237574,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.98257965193701,"endHours":7.290576943587447,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:40","startHours":11.891286487615854,"endHours":12.661279716741948,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:44","startHours":4.961347425481015,"endHours":5.7313406546071075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:30","startHours":5.538842347325584,"endHours":6.501333883733201,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:58","startHours":14.201266174994133,"endHours":14.971259404120227,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.8512323206246,"endHours":18.2512323206246,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:32","startHours":18.0512323206246,"endHours":18.53247808882841,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.8012323206246,"endHours":19.5512323206246,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:40","startHours":23.891286487615854,"endHours":24.661279716741948,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:30","end":"07:57","startHours":6.501333883733201,"endHours":7.945071188344626,"quality":"auspicious"},{"name":"Roga","start":"07:57","end":"09:23","startHours":7.945071188344626,"endHours":9.38880849295605,"quality":"inauspicious"},{"name":"Udveg","start":"09:23","end":"10:50","startHours":9.38880849295605,"endHours":10.832545797567477,"quality":"inauspicious"},{"name":"Chala","start":"10:50","end":"12:17","startHours":10.832545797567477,"endHours":12.276283102178901,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:43","startHours":12.276283102178901,"endHours":13.720020406790326,"quality":"auspicious"},{"name":"Amṛta","start":"13:43","end":"15:10","startHours":13.720020406790326,"endHours":15.16375771140175,"quality":"auspicious"},{"name":"Kāla","start":"15:10","end":"16:36","startHours":15.16375771140175,"endHours":16.607495016013175,"quality":"inauspicious"},{"name":"Śubha","start":"16:36","end":"18:03","startHours":16.607495016013175,"endHours":18.0512323206246,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:36","startHours":18.0512323206246,"endHours":19.607495016013175,"quality":"auspicious"},{"name":"Kāla","start":"19:36","end":"21:10","startHours":19.607495016013175,"endHours":21.16375771140175,"quality":"inauspicious"},{"name":"Śubha","start":"21:10","end":"22:43","startHours":21.16375771140175,"endHours":22.720020406790326,"quality":"auspicious"},{"name":"Roga","start":"22:43","end":"00:17","startHours":22.720020406790326,"endHours":24.2762831021789,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:50","startHours":24.2762831021789,"endHours":25.832545797567477,"quality":"inauspicious"},{"name":"Chala","start":"01:50","end":"03:23","startHours":25.832545797567477,"endHours":27.388808492956052,"quality":"neutral"},{"name":"Labha","start":"03:23","end":"04:57","startHours":27.388808492956052,"endHours":28.945071188344627,"quality":"auspicious"},{"name":"Amṛta","start":"04:57","end":"06:30","startHours":28.945071188344627,"endHours":30.501333883733203,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.501333883733201,"endHours":7.501333883733201,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.501333883733201,"endHours":8.501333883733201,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.501333883733201,"endHours":9.501333883733201,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.501333883733201,"endHours":10.501333883733201,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.501333883733201,"endHours":11.501333883733201,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.501333883733201,"endHours":12.501333883733201,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.501333883733201,"endHours":13.501333883733201,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.501333883733201,"endHours":14.501333883733201,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.501333883733201,"endHours":15.501333883733201,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.501333883733201,"endHours":16.501333883733203,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.501333883733203,"endHours":17.501333883733203,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.501333883733203,"endHours":18.501333883733203,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.501333883733203,"endHours":19.501333883733203,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.501333883733203,"endHours":20.501333883733203,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.501333883733203,"endHours":21.501333883733203,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.501333883733203,"endHours":22.501333883733203,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.501333883733203,"endHours":23.501333883733203,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.501333883733203,"endHours":24.501333883733203,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.501333883733203,"endHours":25.501333883733203,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.501333883733203,"endHours":26.501333883733203,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.501333883733203,"endHours":27.501333883733203,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.501333883733203,"endHours":28.501333883733203,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.501333883733203,"endHours":29.501333883733203,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.501333883733203,"endHours":30.501333883733203,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.945708076182433,"eotMinutes":16.449813869265995,"ayanamsa":24.9961}},"calendars":{"vikram_samvat":2138,"vikram_samvatsara":"Ānanda","saka_samvat":2003,"saka_samvatsara":"Plava","bengali_samvat":1488,"malayalam_era":1257,"nanakshahi_year":612,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram 2138 Ānanda · Śaka 2003 Plava"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"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":"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 October 30, 2081 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 30, 2081 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:30, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2081-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2081-10-30","sa":"https://sa.vidhyamitra.com/city/kolhapur/2081-10-30","hi":"https://hi.vidhyamitra.com/city/kolhapur/2081-10-30","x-default":"https://vidhyamitra.com/city/kolhapur/2081-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:14:57.492Z","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":"2026-06-01T19:14:57.492Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:14:57.492Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}