{"id":"vidhyamitra:city-day:vrindavan:2142-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2142-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2142-10-31","date_display":"October 31, 2142 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":2142,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503712.770833,"kali_year":5244,"ahargana":1915247.2708,"sun":{"sidereal_longitude":190.6229,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":327.6221,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.9991,"elapsed_within_tithi_degrees":4.9991},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.6221,"elapsed_within_degrees":7.6221},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.245},"karana":{"half_tithi_index":22,"name":"Bava"},"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":2142,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503712.770833,"ahargana":1915247.2708,"kali_year":5244,"ayanamsa_lahiri":25.8482,"grahas":{"sun":{"sidereal_longitude":191.664718,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":329.16261800000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":4.3112},"mars":{"sidereal_longitude":262.866218,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":203.03871800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":30.832618000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":200.791518,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":320.199918,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":220.9828,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.9828,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2142,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503712.770833,"kali_year":5244,"ahargana":1915247.2708,"sun":{"sidereal_longitude":190.6229,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":327.6221,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.9991,"elapsed_within_tithi_degrees":4.9991},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.6221,"elapsed_within_degrees":7.6221},"yoga":{"number":12,"name":"Dhruva","sum_longitude":158.245},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.311,"elongation":136.999},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.311,"opposition_distance":43.001}},"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":"06:29","sunsetLocal":"17:37","solarNoonLocal":"12:03","dayLengthHours":11.13178171238653,"dayLengthDisplay":"11 Hours 07 Mins 54 Secs","nightLengthDisplay":"12 Hours 52 Mins 06 Secs","moonriseLocal":"15:14","moonsetLocal":"03:11","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:26","startHours":12.048500340824528,"endHours":13.439973054872844,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:16","startHours":7.874082198679581,"endHours":9.265554912727897,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:03","startHours":10.657027626776213,"endHours":12.048500340824528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.080025217521454,"endHours":9.45108460793434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.946433722647369,"endHours":7.243281234977677,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.677440950411645,"endHours":12.419559731237415,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:44","startHours":4.998371922979727,"endHours":5.740490703805495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:29","startHours":5.5549610085990535,"endHours":6.482609484631264,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.90379729288895,"endHours":14.645916073714718,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.414391197017796,"endHours":17.814391197017795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.614391197017795,"endHours":18.0782154350339,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.364391197017795,"endHours":19.114391197017795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.677440950411647,"endHours":24.419559731237417,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:29","end":"07:52","startHours":6.482609484631264,"endHours":7.874082198679581,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:16","startHours":7.874082198679581,"endHours":9.265554912727897,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:39","startHours":9.265554912727897,"endHours":10.657027626776213,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:03","startHours":10.657027626776213,"endHours":12.048500340824528,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:26","startHours":12.048500340824528,"endHours":13.439973054872844,"quality":"inauspicious"},{"name":"Udveg","start":"13:26","end":"14:50","startHours":13.439973054872844,"endHours":14.831445768921164,"quality":"inauspicious"},{"name":"Chala","start":"14:50","end":"16:13","startHours":14.831445768921164,"endHours":16.22291848296948,"quality":"neutral"},{"name":"Labha","start":"16:13","end":"17:37","startHours":16.22291848296948,"endHours":17.614391197017795,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:37","end":"19:13","startHours":17.614391197017795,"endHours":19.22291848296948,"quality":"inauspicious"},{"name":"Chala","start":"19:13","end":"20:50","startHours":19.22291848296948,"endHours":20.831445768921164,"quality":"neutral"},{"name":"Labha","start":"20:50","end":"22:26","startHours":20.831445768921164,"endHours":22.439973054872844,"quality":"auspicious"},{"name":"Amṛta","start":"22:26","end":"00:03","startHours":22.439973054872844,"endHours":24.048500340824532,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:39","startHours":24.048500340824532,"endHours":25.657027626776213,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:16","startHours":25.657027626776213,"endHours":27.265554912727897,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:52","startHours":27.265554912727897,"endHours":28.87408219867958,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:29","startHours":28.87408219867958,"endHours":30.482609484631265,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.482609484631264,"endHours":7.482609484631264,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.482609484631264,"endHours":8.482609484631265,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.482609484631265,"endHours":9.482609484631265,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.482609484631265,"endHours":10.482609484631265,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.482609484631265,"endHours":11.482609484631265,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.482609484631265,"endHours":12.482609484631265,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.482609484631265,"endHours":13.482609484631265,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.482609484631265,"endHours":14.482609484631265,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.482609484631265,"endHours":15.482609484631265,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.482609484631265,"endHours":16.482609484631265,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.482609484631265,"endHours":17.482609484631265,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.482609484631265,"endHours":18.482609484631265,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.482609484631265,"endHours":19.482609484631265,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.482609484631265,"endHours":20.482609484631265,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.482609484631265,"endHours":21.482609484631265,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.482609484631265,"endHours":22.482609484631265,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.482609484631265,"endHours":23.482609484631265,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.482609484631265,"endHours":24.482609484631265,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.482609484631265,"endHours":25.482609484631265,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.482609484631265,"endHours":26.482609484631265,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.482609484631265,"endHours":27.482609484631265,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.482609484631265,"endHours":28.482609484631265,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.482609484631265,"endHours":29.482609484631265,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.482609484631265,"endHours":30.482609484631265,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.016146106673968,"eotMinutes":16.45277955052819,"ayanamsa":25.8482}},"calendars":{"vikram_samvat":2199,"vikram_samvatsara":"Rākṣasa","saka_samvat":2064,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1549,"malayalam_era":1318,"nanakshahi_year":673,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Dvādaśī · Vikram 2199 Rākṣasa · Śaka 2064 Śubhakṛt"},"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":"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 31, 2142 CE · Vṛndāvana · Vidhyamitra","description":"October 31, 2142 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 06:29, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2142-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2142-10-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2142-10-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2142-10-31","x-default":"https://vidhyamitra.com/city/vrindavan/2142-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:58:23.304Z","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":"2026-06-01T21:58:23.304Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:58:23.304Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}