{"id":"vidhyamitra:city-day:kolhapur:2169-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2169-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-09-13","date_display":"September 13, 2169 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":2169,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513526.770833,"kali_year":5271,"ahargana":1925061.2708,"sun":{"sidereal_longitude":143.3282,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":41.1538,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.8256,"elapsed_within_tithi_degrees":5.8256},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.1538,"elapsed_within_degrees":1.1538},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.482},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2169,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513526.770833,"ahargana":1925061.2708,"kali_year":5271,"ayanamsa_lahiri":26.2236,"grahas":{"sun":{"sidereal_longitude":144.457451,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":38.751251000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-1.5256},"mars":{"sidereal_longitude":90.337851,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":129.942051,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":125.23945100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":124.01125100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":291.02555099999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":60.9898,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.9898,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513526.770833,"kali_year":5271,"ahargana":1925061.2708,"sun":{"sidereal_longitude":143.3282,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":41.1538,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.8256,"elapsed_within_tithi_degrees":5.8256},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.1538,"elapsed_within_degrees":1.1538},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.482},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.526,"elongation":102.174},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.526,"opposition_distance":77.826}},"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":"06:20","sunsetLocal":"18:36","solarNoonLocal":"12:28","dayLengthHours":12.26421654684572,"dayLengthDisplay":"12 Hours 15 Mins 51 Secs","nightLengthDisplay":"11 Hours 44 Mins 09 Secs","moonriseLocal":"22:56","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"14:00","startHours":12.471215484502231,"endHours":14.004242552857946,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:24","startHours":7.8721342794350875,"endHours":9.405161347790802,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:28","startHours":10.938188416146517,"endHours":12.471215484502231,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:37","startHours":9.200757738676707,"endHours":9.609564956904897,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.85011623386461,"endHours":7.177162008447163,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:53","startHours":12.062408266274042,"endHours":12.880022702730423,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:31","startHours":4.703878338166609,"endHours":5.521492774622991,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:20","startHours":5.317089165508896,"endHours":6.339107211079372,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:20","startHours":14.515251575643184,"endHours":15.332866012099565,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.403323757925094,"endHours":18.803323757925092,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.603323757925093,"endHours":19.11433278071033,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.353323757925093,"endHours":20.103323757925093,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:53","startHours":24.06240826627404,"endHours":24.88002270273042,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:20","end":"07:52","startHours":6.339107211079372,"endHours":7.8721342794350875,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:24","startHours":7.8721342794350875,"endHours":9.405161347790802,"quality":"auspicious"},{"name":"Kāla","start":"09:24","end":"10:56","startHours":9.405161347790802,"endHours":10.938188416146517,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:28","startHours":10.938188416146517,"endHours":12.471215484502231,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"14:00","startHours":12.471215484502231,"endHours":14.004242552857946,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:32","startHours":14.004242552857946,"endHours":15.537269621213664,"quality":"inauspicious"},{"name":"Chala","start":"15:32","end":"17:04","startHours":15.537269621213664,"endHours":17.07029668956938,"quality":"neutral"},{"name":"Labha","start":"17:04","end":"18:36","startHours":17.07029668956938,"endHours":18.603323757925093,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:04","startHours":18.603323757925093,"endHours":20.07029668956938,"quality":"inauspicious"},{"name":"Chala","start":"20:04","end":"21:32","startHours":20.07029668956938,"endHours":21.537269621213664,"quality":"neutral"},{"name":"Labha","start":"21:32","end":"23:00","startHours":21.537269621213664,"endHours":23.004242552857946,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:28","startHours":23.004242552857946,"endHours":24.47121548450223,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:56","startHours":24.47121548450223,"endHours":25.938188416146517,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:24","startHours":25.938188416146517,"endHours":27.405161347790802,"quality":"auspicious"},{"name":"Roga","start":"03:24","end":"04:52","startHours":27.405161347790802,"endHours":28.872134279435087,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:20","startHours":28.872134279435087,"endHours":30.339107211079373,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.339107211079372,"endHours":7.339107211079372,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.339107211079372,"endHours":8.339107211079373,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.339107211079373,"endHours":9.339107211079373,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.339107211079373,"endHours":10.339107211079373,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.339107211079373,"endHours":11.339107211079373,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.339107211079373,"endHours":12.339107211079373,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.339107211079373,"endHours":13.339107211079373,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.339107211079373,"endHours":14.339107211079373,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.339107211079373,"endHours":15.339107211079373,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.339107211079373,"endHours":16.339107211079373,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.339107211079373,"endHours":17.339107211079373,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.339107211079373,"endHours":18.339107211079373,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.339107211079373,"endHours":19.339107211079373,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.339107211079373,"endHours":20.339107211079373,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.339107211079373,"endHours":21.339107211079373,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.339107211079373,"endHours":22.339107211079373,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.339107211079373,"endHours":23.339107211079373,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.339107211079373,"endHours":24.339107211079373,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.339107211079373,"endHours":25.339107211079373,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.339107211079373,"endHours":26.339107211079373,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.339107211079373,"endHours":27.339107211079373,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.339107211079373,"endHours":28.339107211079373,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.339107211079373,"endHours":29.339107211079373,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.339107211079373,"endHours":30.339107211079373,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.69268437073011,"eotMinutes":4.753870929866006,"ayanamsa":26.2236}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 September 13, 2169 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 13, 2169 CE for Kolhāpur, Maharashtra: Kṛṣṇa Saptamī, sūryodaya 06:20, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2169-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2169-09-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2169-09-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2169-09-13","x-default":"https://vidhyamitra.com/city/kolhapur/2169-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:10:24.363Z","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":"2026-06-02T10:10:24.364Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:10:24.364Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}