{"id":"vidhyamitra:city-day:kolhapur:1951-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1951-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-05-13","date_display":"May 13, 1951 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":1951,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433779.770833,"kali_year":5053,"ahargana":1845314.2708,"sun":{"sidereal_longitude":28.4211,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":108.5643,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.1433,"elapsed_within_tithi_degrees":8.1433},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.5643,"elapsed_within_degrees":1.8977},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.9854},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1951,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433779.770833,"ahargana":1845314.2708,"kali_year":5053,"ayanamsa_lahiri":23.1735,"grahas":{"sun":{"sidereal_longitude":28.31217300000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":105.018373,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":2.7566},"mars":{"sidereal_longitude":31.357973000000015,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":6.583672999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":342.174673,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":69.786273,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":152.90627300000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":326.3697,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":146.3697,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":1951,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433779.770833,"kali_year":5053,"ahargana":1845314.2708,"sun":{"sidereal_longitude":28.4211,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":108.5643,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.1433,"elapsed_within_tithi_degrees":8.1433},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.5643,"elapsed_within_degrees":1.8977},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":136.9854},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.757,"elongation":80.143},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.757,"opposition_distance":99.857}},"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":"06:03","sunsetLocal":"18:56","solarNoonLocal":"12:29","dayLengthHours":12.874700863332182,"dayLengthDisplay":"12 Hours 52 Mins 29 Secs","nightLengthDisplay":"11 Hours 07 Mins 31 Secs","moonriseLocal":"11:11","moonsetLocal":"00:01","rahuKala":{"name":"Rāhu Kāla","start":"17:19","end":"18:56","startHours":17.315902178023627,"endHours":18.92523978594015,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"14:06","startHours":12.48788935427406,"endHours":14.097226962190582,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:42","end":"17:19","startHours":15.706564570107105,"endHours":17.315902178023627,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:29","startHours":9.05463579071881,"endHours":9.483792486163217,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:56","startHours":6.586984791913475,"endHours":6.930310148269,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:55","startHours":12.058732658829653,"endHours":12.917046049718467,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:12","startHours":4.3339121408303445,"endHours":5.192225531719156,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:59","end":"06:03","startHours":4.977647183996953,"endHours":6.050538922607968,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:30","startHours":14.633672831496089,"endHours":15.4919862223849,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.72523978594015,"endHours":19.12523978594015,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:28","startHours":18.92523978594015,"endHours":19.461685655245656,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.67523978594015,"endHours":20.42523978594015,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:55","startHours":24.058732658829655,"endHours":24.917046049718465,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:40","startHours":6.050538922607968,"endHours":7.659876530524491,"quality":"inauspicious"},{"name":"Chala","start":"07:40","end":"09:16","startHours":7.659876530524491,"endHours":9.269214138441013,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:53","startHours":9.269214138441013,"endHours":10.878551746357537,"quality":"auspicious"},{"name":"Amṛta","start":"10:53","end":"12:29","startHours":10.878551746357537,"endHours":12.48788935427406,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"14:06","startHours":12.48788935427406,"endHours":14.097226962190582,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:42","startHours":14.097226962190582,"endHours":15.706564570107105,"quality":"auspicious"},{"name":"Roga","start":"15:42","end":"17:19","startHours":15.706564570107105,"endHours":17.315902178023627,"quality":"inauspicious"},{"name":"Udveg","start":"17:19","end":"18:56","startHours":17.315902178023627,"endHours":18.92523978594015,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:56","end":"20:19","startHours":18.92523978594015,"endHours":20.315902178023627,"quality":"auspicious"},{"name":"Roga","start":"20:19","end":"21:42","startHours":20.315902178023627,"endHours":21.706564570107105,"quality":"inauspicious"},{"name":"Udveg","start":"21:42","end":"23:06","startHours":21.706564570107105,"endHours":23.097226962190582,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:29","startHours":23.097226962190582,"endHours":24.48788935427406,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"01:53","startHours":24.48788935427406,"endHours":25.878551746357537,"quality":"auspicious"},{"name":"Amṛta","start":"01:53","end":"03:16","startHours":25.878551746357537,"endHours":27.269214138441015,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:40","startHours":27.269214138441015,"endHours":28.659876530524492,"quality":"inauspicious"},{"name":"Śubha","start":"04:40","end":"06:03","startHours":28.659876530524492,"endHours":30.05053892260797,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.050538922607968,"endHours":7.050538922607968,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.050538922607968,"endHours":8.050538922607968,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.050538922607968,"endHours":9.050538922607968,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.050538922607968,"endHours":10.050538922607968,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.050538922607968,"endHours":11.050538922607968,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.050538922607968,"endHours":12.050538922607968,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.050538922607968,"endHours":13.050538922607968,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.050538922607968,"endHours":14.050538922607968,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.050538922607968,"endHours":15.050538922607968,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.050538922607968,"endHours":16.05053892260797,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.05053892260797,"endHours":17.05053892260797,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.05053892260797,"endHours":18.05053892260797,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.05053892260797,"endHours":19.05053892260797,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.05053892260797,"endHours":20.05053892260797,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.05053892260797,"endHours":21.05053892260797,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.05053892260797,"endHours":22.05053892260797,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.05053892260797,"endHours":23.05053892260797,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.05053892260797,"endHours":24.05053892260797,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.05053892260797,"endHours":25.05053892260797,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.05053892260797,"endHours":26.05053892260797,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.05053892260797,"endHours":27.05053892260797,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.05053892260797,"endHours":28.05053892260797,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.05053892260797,"endHours":29.05053892260797,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.05053892260797,"endHours":30.05053892260797,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.131969708753942,"eotMinutes":3.7534387435564067,"ayanamsa":23.1735}},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Saptamī · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 May 13, 1951 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 13, 1951 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:03, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1951-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1951-05-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/1951-05-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/1951-05-13","x-default":"https://vidhyamitra.com/city/kolhapur/1951-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:06:34.173Z","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":"2026-06-01T19:06:34.173Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:06:34.173Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}