{"id":"vidhyamitra:city-day:kolhapur:2086-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2086-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-10-31","date_display":"October 31, 2086 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":2086,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483259.770833,"kali_year":5188,"ahargana":1894794.2708,"sun":{"sidereal_longitude":192.1173,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":119.2387,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.1214,"elapsed_within_tithi_degrees":11.1214},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.2387,"elapsed_within_degrees":12.5721},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.3561},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2086,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483259.770833,"ahargana":1894794.2708,"kali_year":5188,"ayanamsa_lahiri":25.066,"grahas":{"sun":{"sidereal_longitude":193.01757299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":122.67807299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.3372},"mars":{"sidereal_longitude":77.29657299999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":176.71007299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":137.061573,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":198.853073,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":0.12297300000000178,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":224.6811,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":44.6811,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":"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":2086,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483259.770833,"kali_year":5188,"ahargana":1894794.2708,"sun":{"sidereal_longitude":192.1173,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":119.2387,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.1214,"elapsed_within_tithi_degrees":11.1214},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.2387,"elapsed_within_degrees":12.5721},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.3561},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.337,"elongation":72.879},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.337,"opposition_distance":107.121}},"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":11.539152617158802,"dayLengthDisplay":"11 Hours 32 Mins 21 Secs","nightLengthDisplay":"12 Hours 27 Mins 39 Secs","moonriseLocal":"01:18","moonsetLocal":"13:53","rahuKala":{"name":"Rāhu Kāla","start":"13:43","end":"15:10","startHours":13.718627751302716,"endHours":15.161021828447563,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:30","end":"07:57","startHours":6.506657365578463,"endHours":7.949051442723313,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:23","end":"10:50","startHours":9.391445519868164,"endHours":10.833839597013014,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:35","startHours":9.199126309582184,"endHours":9.583764730154144,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:18","startHours":6.987455391293413,"endHours":7.295166127750981,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:40","startHours":11.891595253585903,"endHours":12.660872094729823,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:44","startHours":4.968103683290623,"endHours":5.737380524434543,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:30","startHours":5.545061314148563,"endHours":6.506657365578463,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:58","startHours":14.199425777017666,"endHours":14.968702618161586,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.845809982737265,"endHours":18.245809982737264,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:32","startHours":18.045809982737264,"endHours":18.526608008452214,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.795809982737264,"endHours":19.545809982737264,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:40","startHours":23.891595253585905,"endHours":24.660872094729825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:30","end":"07:57","startHours":6.506657365578463,"endHours":7.949051442723313,"quality":"auspicious"},{"name":"Roga","start":"07:57","end":"09:23","startHours":7.949051442723313,"endHours":9.391445519868164,"quality":"inauspicious"},{"name":"Udveg","start":"09:23","end":"10:50","startHours":9.391445519868164,"endHours":10.833839597013014,"quality":"inauspicious"},{"name":"Chala","start":"10:50","end":"12:17","startHours":10.833839597013014,"endHours":12.276233674157865,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:43","startHours":12.276233674157865,"endHours":13.718627751302716,"quality":"auspicious"},{"name":"Amṛta","start":"13:43","end":"15:10","startHours":13.718627751302716,"endHours":15.161021828447563,"quality":"auspicious"},{"name":"Kāla","start":"15:10","end":"16:36","startHours":15.161021828447563,"endHours":16.603415905592414,"quality":"inauspicious"},{"name":"Śubha","start":"16:36","end":"18:03","startHours":16.603415905592414,"endHours":18.045809982737264,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:36","startHours":18.045809982737264,"endHours":19.603415905592414,"quality":"auspicious"},{"name":"Kāla","start":"19:36","end":"21:10","startHours":19.603415905592414,"endHours":21.161021828447563,"quality":"inauspicious"},{"name":"Śubha","start":"21:10","end":"22:43","startHours":21.161021828447563,"endHours":22.718627751302712,"quality":"auspicious"},{"name":"Roga","start":"22:43","end":"00:17","startHours":22.718627751302712,"endHours":24.276233674157865,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:50","startHours":24.276233674157865,"endHours":25.83383959701301,"quality":"inauspicious"},{"name":"Chala","start":"01:50","end":"03:23","startHours":25.83383959701301,"endHours":27.391445519868164,"quality":"neutral"},{"name":"Labha","start":"03:23","end":"04:57","startHours":27.391445519868164,"endHours":28.949051442723313,"quality":"auspicious"},{"name":"Amṛta","start":"04:57","end":"06:30","startHours":28.949051442723313,"endHours":30.506657365578462,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.506657365578463,"endHours":7.506657365578463,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.506657365578463,"endHours":8.506657365578462,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.506657365578462,"endHours":9.506657365578462,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.506657365578462,"endHours":10.506657365578462,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.506657365578462,"endHours":11.506657365578462,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.506657365578462,"endHours":12.506657365578462,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.506657365578462,"endHours":13.506657365578462,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.506657365578462,"endHours":14.506657365578462,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.506657365578462,"endHours":15.506657365578462,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.506657365578462,"endHours":16.506657365578462,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.506657365578462,"endHours":17.506657365578462,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.506657365578462,"endHours":18.506657365578462,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.506657365578462,"endHours":19.506657365578462,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.506657365578462,"endHours":20.506657365578462,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.506657365578462,"endHours":21.506657365578462,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.506657365578462,"endHours":22.506657365578462,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.506657365578462,"endHours":23.506657365578462,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.506657365578462,"endHours":24.506657365578462,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.506657365578462,"endHours":25.506657365578462,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.506657365578462,"endHours":26.506657365578462,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.506657365578462,"endHours":27.506657365578462,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.506657365578462,"endHours":28.506657365578462,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.506657365578462,"endHours":29.506657365578462,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.506657365578462,"endHours":30.506657365578462,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.20106770413895,"eotMinutes":16.45277955052819,"ayanamsa":25.066}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"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 Navamī · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"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 October 31, 2086 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 31, 2086 CE for Kolhāpur, Maharashtra: Kṛṣṇa Navamī, sūryodaya 06:30, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2086-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2086-10-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2086-10-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2086-10-31","x-default":"https://vidhyamitra.com/city/kolhapur/2086-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:43:47.515Z","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":"2026-05-31T11:43:47.515Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:43:47.515Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}