{"id":"vidhyamitra:city-day:kolhapur:2169-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2169-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-04-13","date_display":"April 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":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513373.770833,"kali_year":5270,"ahargana":1924908.2708,"sun":{"sidereal_longitude":357.0353,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":195.8868,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.8515,"elapsed_within_tithi_degrees":6.8515},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.8868,"elapsed_within_degrees":9.2201},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.9221},"karana":{"half_tithi_index":33,"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":2169,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513373.770833,"ahargana":1924908.2708,"kali_year":5270,"ayanamsa_lahiri":26.2177,"grahas":{"sun":{"sidereal_longitude":357.286297,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":194.86469699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":3.6024},"mars":{"sidereal_longitude":342.313797,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":345.569797,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":99.717197,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":308.781797,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":294.4518969999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":69.0965,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.0965,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513373.770833,"kali_year":5270,"ahargana":1924908.2708,"sun":{"sidereal_longitude":357.0353,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":195.8868,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.8515,"elapsed_within_tithi_degrees":6.8515},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.8868,"elapsed_within_degrees":9.2201},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.9221},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.602,"elongation":161.149},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.602,"opposition_distance":18.851}},"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":"06:19","sunsetLocal":"18:48","solarNoonLocal":"12:34","dayLengthHours":12.486099448141907,"dayLengthDisplay":"12 Hours 29 Mins 10 Secs","nightLengthDisplay":"11 Hours 30 Mins 50 Secs","moonriseLocal":"20:00","moonsetLocal":"07:28","rahuKala":{"name":"Rāhu Kāla","start":"14:07","end":"15:41","startHours":14.124039278179476,"endHours":15.684801709197213,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:19","end":"07:53","startHours":6.320227123090784,"endHours":7.880989554108522,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:27","end":"11:00","startHours":9.44175198512626,"endHours":11.002514416143999,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.233650327657228,"endHours":9.649853642595293,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:10","startHours":6.840481266763363,"endHours":7.173443918713814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:59","startHours":12.147073532223674,"endHours":12.979480162099803,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:29","startHours":4.65541386333853,"endHours":5.487820493214657,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.279718835745625,"endHours":6.320227123090784,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:29","startHours":14.644293421852055,"endHours":15.476700051728182,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.606326571232692,"endHours":19.00632657123269,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:20","startHours":18.80632657123269,"endHours":19.326580714905273,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.55632657123269,"endHours":20.30632657123269,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:59","startHours":24.147073532223676,"endHours":24.9794801620998,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:19","end":"07:53","startHours":6.320227123090784,"endHours":7.880989554108522,"quality":"auspicious"},{"name":"Roga","start":"07:53","end":"09:27","startHours":7.880989554108522,"endHours":9.44175198512626,"quality":"inauspicious"},{"name":"Udveg","start":"09:27","end":"11:00","startHours":9.44175198512626,"endHours":11.002514416143999,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:34","startHours":11.002514416143999,"endHours":12.563276847161738,"quality":"neutral"},{"name":"Labha","start":"12:34","end":"14:07","startHours":12.563276847161738,"endHours":14.124039278179476,"quality":"auspicious"},{"name":"Amṛta","start":"14:07","end":"15:41","startHours":14.124039278179476,"endHours":15.684801709197213,"quality":"auspicious"},{"name":"Kāla","start":"15:41","end":"17:15","startHours":15.684801709197213,"endHours":17.245564140214952,"quality":"inauspicious"},{"name":"Śubha","start":"17:15","end":"18:48","startHours":17.245564140214952,"endHours":18.80632657123269,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:48","end":"20:15","startHours":18.80632657123269,"endHours":20.245564140214952,"quality":"auspicious"},{"name":"Kāla","start":"20:15","end":"21:41","startHours":20.245564140214952,"endHours":21.684801709197217,"quality":"inauspicious"},{"name":"Śubha","start":"21:41","end":"23:07","startHours":21.684801709197217,"endHours":23.124039278179477,"quality":"auspicious"},{"name":"Roga","start":"23:07","end":"00:34","startHours":23.124039278179477,"endHours":24.563276847161738,"quality":"inauspicious"},{"name":"Udveg","start":"00:34","end":"02:00","startHours":24.563276847161738,"endHours":26.002514416144,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:27","startHours":26.002514416144,"endHours":27.44175198512626,"quality":"neutral"},{"name":"Labha","start":"03:27","end":"04:53","startHours":27.44175198512626,"endHours":28.880989554108524,"quality":"auspicious"},{"name":"Amṛta","start":"04:53","end":"06:19","startHours":28.880989554108524,"endHours":30.320227123090785,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.320227123090784,"endHours":7.320227123090784,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.320227123090784,"endHours":8.320227123090785,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.320227123090785,"endHours":9.320227123090785,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.320227123090785,"endHours":10.320227123090785,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.320227123090785,"endHours":11.320227123090785,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.320227123090785,"endHours":12.320227123090785,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.320227123090785,"endHours":13.320227123090785,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.320227123090785,"endHours":14.320227123090785,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.320227123090785,"endHours":15.320227123090785,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.320227123090785,"endHours":16.320227123090785,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.320227123090785,"endHours":17.320227123090785,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.320227123090785,"endHours":18.320227123090785,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.320227123090785,"endHours":19.320227123090785,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.320227123090785,"endHours":20.320227123090785,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.320227123090785,"endHours":21.320227123090785,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.320227123090785,"endHours":22.320227123090785,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.320227123090785,"endHours":23.320227123090785,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.320227123090785,"endHours":24.320227123090785,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.320227123090785,"endHours":25.320227123090785,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.320227123090785,"endHours":26.320227123090785,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.320227123090785,"endHours":27.320227123090785,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.320227123090785,"endHours":28.320227123090785,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.320227123090785,"endHours":29.320227123090785,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.320227123090785,"endHours":30.320227123090785,"planetary_lord":"Moon"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.12685698915489,"eotMinutes":-0.7698108297043191,"ayanamsa":26.2177}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Dvitīyā · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"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 April 13, 2169 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 13, 2169 CE for Kolhāpur, Maharashtra: Kṛṣṇa Dvitīyā, sūryodaya 06:19, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2169-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2169-04-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2169-04-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2169-04-13","x-default":"https://vidhyamitra.com/city/kolhapur/2169-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:40:45.160Z","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":"2026-06-01T13:40:45.160Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:40:45.160Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}