{"id":"vidhyamitra:city-day:solapur:2172-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/solapur/2172-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-05-13","date_display":"May 13, 2172 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":2172,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514499.770833,"kali_year":5274,"ahargana":1926034.2708,"sun":{"sidereal_longitude":26.3235,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":267.9509,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.6273,"elapsed_within_tithi_degrees":1.6273},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":267.9509,"elapsed_within_degrees":1.2842},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.2744},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2172,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514499.770833,"ahargana":1926034.2708,"kali_year":5274,"ayanamsa_lahiri":26.2608,"grahas":{"sun":{"sidereal_longitude":26.722075000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":271.624275,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.4097},"mars":{"sidereal_longitude":167.41107499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":43.25307499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":194.67967499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":355.225775,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":330.34017500000004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":9.4356,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":189.4356,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2172,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514499.770833,"kali_year":5274,"ahargana":1926034.2708,"sun":{"sidereal_longitude":26.3235,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":267.9509,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.6273,"elapsed_within_tithi_degrees":1.6273},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":267.9509,"elapsed_within_degrees":1.2842},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.2744},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.41,"elongation":118.373},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.41,"opposition_distance":61.627}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-0.251,"elongation":0.283}]},"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"05:54","sunsetLocal":"18:51","solarNoonLocal":"12:23","dayLengthHours":12.939840383425832,"dayLengthDisplay":"12 Hours 56 Mins 23 Secs","nightLengthDisplay":"11 Hours 03 Mins 37 Secs","moonriseLocal":"23:07","moonsetLocal":"10:17","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:00","startHours":12.377016020940726,"endHours":13.994496068868955,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:31","end":"09:09","startHours":7.524575877156038,"endHours":9.142055925084268,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:46","end":"12:23","startHours":10.759535973012497,"endHours":12.377016020940726,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.926391918693836,"endHours":9.357719931474698,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:47","startHours":6.446255845203885,"endHours":6.791318255428575,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.945688008159864,"endHours":12.808344033721587,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:11","end":"05:03","startHours":4.181783778104364,"endHours":5.044439803666087,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:54","startHours":4.828775797275656,"endHours":5.907095829227809,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.533656084845031,"endHours":15.396312110406754,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.646936212653642,"endHours":19.04693621265364,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:23","startHours":18.84693621265364,"endHours":19.386096228629718,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.59693621265364,"endHours":20.34693621265364,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.945688008159866,"endHours":24.808344033721585,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:54","end":"07:31","startHours":5.907095829227809,"endHours":7.524575877156038,"quality":"auspicious"},{"name":"Amṛta","start":"07:31","end":"09:09","startHours":7.524575877156038,"endHours":9.142055925084268,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:46","startHours":9.142055925084268,"endHours":10.759535973012497,"quality":"inauspicious"},{"name":"Śubha","start":"10:46","end":"12:23","startHours":10.759535973012497,"endHours":12.377016020940726,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:00","startHours":12.377016020940726,"endHours":13.994496068868955,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:37","startHours":13.994496068868955,"endHours":15.611976116797184,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:14","startHours":15.611976116797184,"endHours":17.229456164725413,"quality":"neutral"},{"name":"Labha","start":"17:14","end":"18:51","startHours":17.229456164725413,"endHours":18.84693621265364,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:51","end":"20:14","startHours":18.84693621265364,"endHours":20.229456164725413,"quality":"inauspicious"},{"name":"Chala","start":"20:14","end":"21:37","startHours":20.229456164725413,"endHours":21.611976116797184,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"23:00","startHours":21.611976116797184,"endHours":22.994496068868955,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:23","startHours":22.994496068868955,"endHours":24.377016020940726,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:46","startHours":24.377016020940726,"endHours":25.759535973012497,"quality":"inauspicious"},{"name":"Śubha","start":"01:46","end":"03:09","startHours":25.759535973012497,"endHours":27.142055925084268,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:31","startHours":27.142055925084268,"endHours":28.52457587715604,"quality":"inauspicious"},{"name":"Udveg","start":"04:31","end":"05:54","startHours":28.52457587715604,"endHours":29.90709582922781,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:54","end":"06:54","startHours":5.907095829227809,"endHours":6.907095829227809,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:54","end":"07:54","startHours":6.907095829227809,"endHours":7.907095829227809,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:54","end":"08:54","startHours":7.907095829227809,"endHours":8.90709582922781,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:54","end":"09:54","startHours":8.90709582922781,"endHours":9.90709582922781,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:54","end":"10:54","startHours":9.90709582922781,"endHours":10.90709582922781,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:54","end":"11:54","startHours":10.90709582922781,"endHours":11.90709582922781,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:54","end":"12:54","startHours":11.90709582922781,"endHours":12.90709582922781,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:54","end":"13:54","startHours":12.90709582922781,"endHours":13.90709582922781,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:54","end":"14:54","startHours":13.90709582922781,"endHours":14.90709582922781,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:54","end":"15:54","startHours":14.90709582922781,"endHours":15.90709582922781,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:54","end":"16:54","startHours":15.90709582922781,"endHours":16.90709582922781,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:54","end":"17:54","startHours":16.90709582922781,"endHours":17.90709582922781,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:54","end":"18:54","startHours":17.90709582922781,"endHours":18.90709582922781,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:54","end":"19:54","startHours":18.90709582922781,"endHours":19.90709582922781,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:54","end":"20:54","startHours":19.90709582922781,"endHours":20.90709582922781,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:54","end":"21:54","startHours":20.90709582922781,"endHours":21.90709582922781,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:54","end":"22:54","startHours":21.90709582922781,"endHours":22.90709582922781,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:54","end":"23:54","startHours":22.90709582922781,"endHours":23.90709582922781,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:54","end":"00:54","startHours":23.90709582922781,"endHours":24.90709582922781,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:54","end":"01:54","startHours":24.90709582922781,"endHours":25.90709582922781,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:54","end":"02:54","startHours":25.90709582922781,"endHours":26.90709582922781,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:54","end":"03:54","startHours":26.90709582922781,"endHours":27.90709582922781,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:54","end":"04:54","startHours":27.90709582922781,"endHours":28.90709582922781,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:54","end":"05:54","startHours":28.90709582922781,"endHours":29.90709582922781,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.51613563251267,"eotMinutes":3.7534387435564067,"ayanamsa":26.2608}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ṣaṣṭhī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"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":[]},"validity":{"eternal":false,"location_specific":"solapur"},"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, 2172 CE · Solapur, Maharashtra · Vidhyamitra","description":"May 13, 2172 CE for Solapur, Maharashtra: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:54, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/solapur/2172-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/solapur/2172-05-13","sa":"https://sa.vidhyamitra.com/city/solapur/2172-05-13","hi":"https://hi.vidhyamitra.com/city/solapur/2172-05-13","x-default":"https://vidhyamitra.com/city/solapur/2172-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:57:53.590Z","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":"2026-06-03T01:57:53.590Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:57:53.590Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}