{"id":"vidhyamitra:city-day:kolhapur:2168-09-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2168-09-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-09-16","date_display":"September 16, 2168 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":2168,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513164.770833,"kali_year":5270,"ahargana":1924699.2708,"sun":{"sidereal_longitude":146.4908,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":310.0835,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.5926,"elapsed_within_tithi_degrees":7.5926},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.0835,"elapsed_within_degrees":3.4168},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.5743},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":2168,"month":9,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513164.770833,"ahargana":1924699.2708,"kali_year":5270,"ayanamsa_lahiri":26.2097,"grahas":{"sun":{"sidereal_longitude":147.625882,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":311.62178199999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-3.4413},"mars":{"sidereal_longitude":184.68238199999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":127.662082,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":101.13868200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":182.334882,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.60538199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":80.1703,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.1703,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":9,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513164.770833,"kali_year":5270,"ahargana":1924699.2708,"sun":{"sidereal_longitude":146.4908,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":310.0835,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.5926,"elapsed_within_tithi_degrees":7.5926},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.0835,"elapsed_within_degrees":3.4168},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.5743},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.441,"elongation":163.593},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.441,"opposition_distance":16.407}},"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":"06:21","sunsetLocal":"18:34","solarNoonLocal":"12:27","dayLengthHours":12.214097967969323,"dayLengthDisplay":"12 Hours 12 Mins 51 Secs","nightLengthDisplay":"11 Hours 47 Mins 09 Secs","moonriseLocal":"17:31","moonsetLocal":"05:15","rahuKala":{"name":"Rāhu Kāla","start":"10:56","end":"12:27","startHours":10.925879236825025,"endHours":12.452641482821189,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:30","end":"17:02","startHours":15.50616597481352,"endHours":17.032928220809687,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:24","startHours":7.872354744832694,"endHours":9.399116990828858,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:36","startHours":9.195548691362703,"endHours":9.602685290295014,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.854513247501917,"endHours":7.180222526647765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:52","startHours":12.045504883888878,"endHours":12.8597780817535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:32","startHours":4.717046103107285,"endHours":5.531319300971907,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:21","startHours":5.327751001505751,"endHours":6.345592498836528,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:18","startHours":14.488324477482742,"endHours":15.302597675347362,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.35969046680585,"endHours":18.75969046680585,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:04","startHours":18.55969046680585,"endHours":19.06861121547124,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.30969046680585,"endHours":20.05969046680585,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:52","startHours":24.045504883888878,"endHours":24.8597780817535,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:21","end":"07:52","startHours":6.345592498836528,"endHours":7.872354744832694,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:24","startHours":7.872354744832694,"endHours":9.399116990828858,"quality":"auspicious"},{"name":"Amṛta","start":"09:24","end":"10:56","startHours":9.399116990828858,"endHours":10.925879236825025,"quality":"auspicious"},{"name":"Kāla","start":"10:56","end":"12:27","startHours":10.925879236825025,"endHours":12.452641482821189,"quality":"inauspicious"},{"name":"Śubha","start":"12:27","end":"13:59","startHours":12.452641482821189,"endHours":13.979403728817356,"quality":"auspicious"},{"name":"Roga","start":"13:59","end":"15:30","startHours":13.979403728817356,"endHours":15.50616597481352,"quality":"inauspicious"},{"name":"Udveg","start":"15:30","end":"17:02","startHours":15.50616597481352,"endHours":17.032928220809687,"quality":"inauspicious"},{"name":"Chala","start":"17:02","end":"18:34","startHours":17.032928220809687,"endHours":18.55969046680585,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:34","end":"20:02","startHours":18.55969046680585,"endHours":20.032928220809687,"quality":"inauspicious"},{"name":"Udveg","start":"20:02","end":"21:30","startHours":20.032928220809687,"endHours":21.50616597481352,"quality":"inauspicious"},{"name":"Chala","start":"21:30","end":"22:59","startHours":21.50616597481352,"endHours":22.979403728817353,"quality":"neutral"},{"name":"Labha","start":"22:59","end":"00:27","startHours":22.979403728817353,"endHours":24.45264148282119,"quality":"auspicious"},{"name":"Amṛta","start":"00:27","end":"01:56","startHours":24.45264148282119,"endHours":25.925879236825025,"quality":"auspicious"},{"name":"Kāla","start":"01:56","end":"03:24","startHours":25.925879236825025,"endHours":27.39911699082886,"quality":"inauspicious"},{"name":"Śubha","start":"03:24","end":"04:52","startHours":27.39911699082886,"endHours":28.87235474483269,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:21","startHours":28.87235474483269,"endHours":30.345592498836528,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.345592498836528,"endHours":7.345592498836528,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.345592498836528,"endHours":8.345592498836528,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.345592498836528,"endHours":9.345592498836528,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.345592498836528,"endHours":10.345592498836528,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.345592498836528,"endHours":11.345592498836528,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.345592498836528,"endHours":12.345592498836528,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.345592498836528,"endHours":13.345592498836528,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.345592498836528,"endHours":14.345592498836528,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.345592498836528,"endHours":15.345592498836528,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.345592498836528,"endHours":16.345592498836528,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.345592498836528,"endHours":17.345592498836528,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.345592498836528,"endHours":18.345592498836528,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.345592498836528,"endHours":19.345592498836528,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.345592498836528,"endHours":20.345592498836528,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.345592498836528,"endHours":21.345592498836528,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.345592498836528,"endHours":22.345592498836528,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.345592498836528,"endHours":23.345592498836528,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.345592498836528,"endHours":24.345592498836528,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.345592498836528,"endHours":25.345592498836528,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.345592498836528,"endHours":26.345592498836528,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.345592498836528,"endHours":27.345592498836528,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.345592498836528,"endHours":28.345592498836528,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.345592498836528,"endHours":29.345592498836528,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.345592498836528,"endHours":30.345592498836528,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","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":2.447806326874149,"eotMinutes":5.868311030728706,"ayanamsa":26.2097}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturdaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"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":[]},"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 16, 2168 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 16, 2168 CE for Kolhāpur, Maharashtra: Śukla Caturdaśī, sūryodaya 06:21, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2168-09-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2168-09-16","sa":"https://sa.vidhyamitra.com/city/kolhapur/2168-09-16","hi":"https://hi.vidhyamitra.com/city/kolhapur/2168-09-16","x-default":"https://vidhyamitra.com/city/kolhapur/2168-09-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:15:10.709Z","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":"2026-05-31T06:15:10.709Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:15:10.709Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}