{"id":"vidhyamitra:city-day:kolhapur:2165-10-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2165-10-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-10-26","date_display":"October 26, 2165 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":2165,"month":10,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512108.770833,"kali_year":5267,"ahargana":1923643.2708,"sun":{"sidereal_longitude":185.6689,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":85.3378,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.6689,"elapsed_within_tithi_degrees":7.6689},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3378,"elapsed_within_degrees":5.3378},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.0067},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2165,"month":10,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512108.770833,"ahargana":1923643.2708,"kali_year":5267,"ayanamsa_lahiri":26.1693,"grahas":{"sun":{"sidereal_longitude":186.783229,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":88.05062900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":-3.485},"mars":{"sidereal_longitude":76.09072900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":176.60222899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":1.4166290000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":221.46492899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":245.87782900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":136.1223,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":316.1223,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2165,"month":10,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512108.770833,"kali_year":5267,"ahargana":1923643.2708,"sun":{"sidereal_longitude":185.6689,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":85.3378,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":259.6689,"elapsed_within_tithi_degrees":7.6689},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3378,"elapsed_within_degrees":5.3378},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.0067},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.485,"elongation":100.331},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.485,"opposition_distance":79.669}},"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":"06:28","sunsetLocal":"18:05","solarNoonLocal":"12:17","dayLengthHours":11.61056347936551,"dayLengthDisplay":"11 Hours 36 Mins 38 Secs","nightLengthDisplay":"12 Hours 23 Mins 22 Secs","moonriseLocal":"23:12","moonsetLocal":"12:11","rahuKala":{"name":"Rāhu Kāla","start":"09:23","end":"10:50","startHours":9.376068800319395,"endHours":10.827389235240084,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:11","startHours":13.730030105081461,"endHours":15.18135054000215,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:28","end":"07:55","startHours":6.473427930478018,"endHours":7.924748365398707,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:34","startHours":9.182559408996637,"endHours":9.569578191642155,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:16","startHours":6.957201408784915,"endHours":7.266816434901329,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:40","startHours":11.891690887515255,"endHours":12.66572845280629,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:42","startHours":4.9253527998959505,"endHours":5.699390365186984,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:28","startHours":5.505880973864226,"endHours":6.473427930478018,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:59","startHours":14.213803583388358,"endHours":14.987841148679392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.883991409843528,"endHours":18.283991409843527,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:34","startHours":18.083991409843527,"endHours":18.567764888150425,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.833991409843527,"endHours":19.583991409843527,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:40","startHours":23.891690887515256,"endHours":24.665728452806288,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:28","end":"07:55","startHours":6.473427930478018,"endHours":7.924748365398707,"quality":"inauspicious"},{"name":"Śubha","start":"07:55","end":"09:23","startHours":7.924748365398707,"endHours":9.376068800319395,"quality":"auspicious"},{"name":"Roga","start":"09:23","end":"10:50","startHours":9.376068800319395,"endHours":10.827389235240084,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:17","startHours":10.827389235240084,"endHours":12.278709670160772,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:44","startHours":12.278709670160772,"endHours":13.730030105081461,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:11","startHours":13.730030105081461,"endHours":15.18135054000215,"quality":"auspicious"},{"name":"Amṛta","start":"15:11","end":"16:38","startHours":15.18135054000215,"endHours":16.63267097492284,"quality":"auspicious"},{"name":"Kāla","start":"16:38","end":"18:05","startHours":16.63267097492284,"endHours":18.083991409843527,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:05","end":"19:38","startHours":18.083991409843527,"endHours":19.63267097492284,"quality":"auspicious"},{"name":"Amṛta","start":"19:38","end":"21:11","startHours":19.63267097492284,"endHours":21.18135054000215,"quality":"auspicious"},{"name":"Kāla","start":"21:11","end":"22:44","startHours":21.18135054000215,"endHours":22.73003010508146,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:17","startHours":22.73003010508146,"endHours":24.278709670160772,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:50","startHours":24.278709670160772,"endHours":25.827389235240084,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:23","startHours":25.827389235240084,"endHours":27.376068800319395,"quality":"inauspicious"},{"name":"Chala","start":"03:23","end":"04:55","startHours":27.376068800319395,"endHours":28.924748365398706,"quality":"neutral"},{"name":"Labha","start":"04:55","end":"06:28","startHours":28.924748365398706,"endHours":30.473427930478017,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:28","end":"07:28","startHours":6.473427930478018,"endHours":7.473427930478018,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:28","end":"08:28","startHours":7.473427930478018,"endHours":8.473427930478017,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:28","end":"09:28","startHours":8.473427930478017,"endHours":9.473427930478017,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:28","end":"10:28","startHours":9.473427930478017,"endHours":10.473427930478017,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:28","end":"11:28","startHours":10.473427930478017,"endHours":11.473427930478017,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:28","end":"12:28","startHours":11.473427930478017,"endHours":12.473427930478017,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:28","end":"13:28","startHours":12.473427930478017,"endHours":13.473427930478017,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:28","end":"14:28","startHours":13.473427930478017,"endHours":14.473427930478017,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:28","end":"15:28","startHours":14.473427930478017,"endHours":15.473427930478017,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:28","end":"16:28","startHours":15.473427930478017,"endHours":16.473427930478017,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:28","end":"17:28","startHours":16.473427930478017,"endHours":17.473427930478017,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:28","end":"18:28","startHours":17.473427930478017,"endHours":18.473427930478017,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:28","end":"19:28","startHours":18.473427930478017,"endHours":19.473427930478017,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:28","end":"20:28","startHours":19.473427930478017,"endHours":20.473427930478017,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:28","end":"21:28","startHours":20.473427930478017,"endHours":21.473427930478017,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:28","end":"22:28","startHours":21.473427930478017,"endHours":22.473427930478017,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:28","end":"23:28","startHours":22.473427930478017,"endHours":23.473427930478017,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:28","end":"00:28","startHours":23.473427930478017,"endHours":24.473427930478017,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:28","end":"01:28","startHours":24.473427930478017,"endHours":25.473427930478017,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:28","end":"02:28","startHours":25.473427930478017,"endHours":26.473427930478017,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:28","end":"03:28","startHours":26.473427930478017,"endHours":27.473427930478017,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:28","end":"04:28","startHours":27.473427930478017,"endHours":28.473427930478017,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:28","end":"05:28","startHours":28.473427930478017,"endHours":29.473427930478017,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:28","end":"06:28","startHours":29.473427930478017,"endHours":30.473427930478017,"planetary_lord":"Mercury"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","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":-12.494399412723263,"eotMinutes":16.304219790353635,"ayanamsa":26.1693}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Saptamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 October 26, 2165 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 26, 2165 CE for Kolhāpur, Maharashtra: Kṛṣṇa Saptamī, sūryodaya 06:28, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2165-10-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2165-10-26","sa":"https://sa.vidhyamitra.com/city/kolhapur/2165-10-26","hi":"https://hi.vidhyamitra.com/city/kolhapur/2165-10-26","x-default":"https://vidhyamitra.com/city/kolhapur/2165-10-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:33:28.106Z","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":"2026-05-31T16:33:28.106Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:33:28.106Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}