{"id":"vidhyamitra:city-day:vrindavan:2037-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2037-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2037-10-13","date_display":"October 13, 2037 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":2037,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465344.770833,"kali_year":5139,"ahargana":1876879.2708,"sun":{"sidereal_longitude":174.8439,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.7906,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.9467,"elapsed_within_tithi_degrees":3.9467},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":226.7906,"elapsed_within_degrees":0.1239},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.6345},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2037,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465344.770833,"ahargana":1876879.2708,"kali_year":5139,"ayanamsa_lahiri":24.3808,"grahas":{"sun":{"sidereal_longitude":175.67355799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":229.556058,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":3.2956},"mars":{"sidereal_longitude":41.34155800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":181.52735800000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":92.60835800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":221.64595800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":136.75255800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":93.9041,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.9041,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara 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":2037,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465344.770833,"kali_year":5139,"ahargana":1876879.2708,"sun":{"sidereal_longitude":174.8439,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.7906,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":51.9467,"elapsed_within_tithi_degrees":3.9467},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":226.7906,"elapsed_within_degrees":0.1239},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.6345},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.296,"elongation":51.947},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.296,"opposition_distance":128.053}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:18","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.577227371082813,"dayLengthDisplay":"11 Hours 34 Mins 38 Secs","nightLengthDisplay":"12 Hours 25 Mins 22 Secs","moonriseLocal":"10:27","moonsetLocal":"20:53","rahuKala":{"name":"Rāhu Kāla","start":"14:59","end":"16:25","startHours":14.976313022636113,"endHours":16.423466444021464,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:38","startHours":9.187699337094706,"endHours":10.634852758480058,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529159601250761,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.99474554757666,"endHours":9.380653126612753,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.7757769681191204,"endHours":7.084503031347996,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.696098600829316,"endHours":12.467913758901503,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.749762178179628,"endHours":5.5215773362518155,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:18","startHours":5.328623546733769,"endHours":6.293392494324003,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.01154407504588,"endHours":14.783359233118068,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.670619865406817,"endHours":18.070619865406815,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.870619865406816,"endHours":18.353004339201934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.620619865406816,"endHours":19.370619865406816,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.696098600829316,"endHours":24.467913758901503,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:18","end":"07:44","startHours":6.293392494324003,"endHours":7.740545915709355,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:11","startHours":7.740545915709355,"endHours":9.187699337094706,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:38","startHours":9.187699337094706,"endHours":10.634852758480058,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:05","startHours":10.634852758480058,"endHours":12.08200617986541,"quality":"auspicious"},{"name":"Amṛta","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529159601250761,"quality":"auspicious"},{"name":"Kāla","start":"13:32","end":"14:59","startHours":13.529159601250761,"endHours":14.976313022636113,"quality":"inauspicious"},{"name":"Śubha","start":"14:59","end":"16:25","startHours":14.976313022636113,"endHours":16.423466444021464,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:52","startHours":16.423466444021464,"endHours":17.870619865406816,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:52","end":"19:25","startHours":17.870619865406816,"endHours":19.423466444021464,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"20:59","startHours":19.423466444021464,"endHours":20.976313022636113,"quality":"auspicious"},{"name":"Roga","start":"20:59","end":"22:32","startHours":20.976313022636113,"endHours":22.52915960125076,"quality":"inauspicious"},{"name":"Udveg","start":"22:32","end":"00:05","startHours":22.52915960125076,"endHours":24.08200617986541,"quality":"inauspicious"},{"name":"Chala","start":"00:05","end":"01:38","startHours":24.08200617986541,"endHours":25.634852758480058,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:11","startHours":25.634852758480058,"endHours":27.187699337094706,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:44","startHours":27.187699337094706,"endHours":28.740545915709355,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:18","startHours":28.740545915709355,"endHours":30.293392494324003,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.293392494324003,"endHours":7.293392494324003,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.293392494324003,"endHours":8.293392494324003,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.293392494324003,"endHours":9.293392494324003,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.293392494324003,"endHours":10.293392494324003,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.293392494324003,"endHours":11.293392494324003,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.293392494324003,"endHours":12.293392494324003,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.293392494324003,"endHours":13.293392494324003,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.293392494324003,"endHours":14.293392494324003,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.293392494324003,"endHours":15.293392494324003,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.293392494324003,"endHours":16.293392494324003,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.293392494324003,"endHours":17.293392494324003,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.293392494324003,"endHours":18.293392494324003,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.293392494324003,"endHours":19.293392494324003,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.293392494324003,"endHours":20.293392494324003,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.293392494324003,"endHours":21.293392494324003,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.293392494324003,"endHours":22.293392494324003,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.293392494324003,"endHours":23.293392494324003,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.293392494324003,"endHours":24.293392494324003,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.293392494324003,"endHours":25.293392494324003,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.293392494324003,"endHours":26.293392494324003,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.293392494324003,"endHours":27.293392494324003,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.293392494324003,"endHours":28.293392494324003,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.293392494324003,"endHours":29.293392494324003,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.293392494324003,"endHours":30.293392494324003,"planetary_lord":"Saturn"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-7.838833045068835,"eotMinutes":14.442429208075392,"ayanamsa":24.3808}},"calendars":{"vikram_samvat":2094,"vikram_samvatsara":"Pramoda","saka_samvat":1959,"saka_samvatsara":"Piṅgala","bengali_samvat":1444,"malayalam_era":1213,"nanakshahi_year":568,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pañcamī · Vikram 2094 Pramoda · Śaka 1959 Piṅgala"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 13, 2037 CE · Vṛndāvana · Vidhyamitra","description":"October 13, 2037 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 06:18, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2037-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2037-10-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2037-10-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2037-10-13","x-default":"https://vidhyamitra.com/city/vrindavan/2037-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:43:24.048Z","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":"2026-05-15T14:43:24.048Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:43:24.048Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}