{"id":"vidhyamitra:city-day:vrindavan:2113-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2113-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-10-10","date_display":"October 10, 2113 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":2113,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493099.770833,"kali_year":5215,"ahargana":1904634.2708,"sun":{"sidereal_longitude":170.2271,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":173.9043,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.6771,"elapsed_within_tithi_degrees":3.6771},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.9043,"elapsed_within_degrees":0.5709},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1314},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2113,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493099.770833,"ahargana":1904634.2708,"kali_year":5215,"ayanamsa_lahiri":25.4423,"grahas":{"sun":{"sidereal_longitude":171.246213,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":173.486713,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":4.2119},"mars":{"sidereal_longitude":153.25651300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":174.35601299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":210.66401299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":154.316513,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":327.497513,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":63.3106,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":243.3106,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493099.770833,"kali_year":5215,"ahargana":1904634.2708,"sun":{"sidereal_longitude":170.2271,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":173.9043,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":3.6771,"elapsed_within_tithi_degrees":3.6771},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":173.9043,"elapsed_within_degrees":0.5709},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1314},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.212,"elongation":3.677},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.212,"opposition_distance":176.323}},"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":"06:16","sunsetLocal":"17:56","solarNoonLocal":"12:06","dayLengthHours":11.667525764337386,"dayLengthDisplay":"11 Hours 40 Mins 03 Secs","nightLengthDisplay":"12 Hours 19 Mins 57 Secs","moonriseLocal":"06:28","moonsetLocal":"18:02","rahuKala":{"name":"Rāhu Kāla","start":"15:01","end":"16:28","startHours":15.010537339884852,"endHours":16.468978060427027,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:38","startHours":9.176774457716158,"endHours":10.635215178258331,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:06","end":"13:33","startHours":12.093655898800506,"endHours":13.552096619342677,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.982315694977203,"endHours":9.371233220455116,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:03","startHours":6.746039923479203,"endHours":7.0571739438615335,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.704738373322593,"endHours":12.482573424278419,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:29","startHours":4.704222914720161,"endHours":5.4820579656759865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:16","startHours":5.28759920293703,"endHours":6.259893016631812,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:49","startHours":14.038243526190069,"endHours":14.816078577145895,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.7274187809692,"endHours":18.127418780969197,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:25","startHours":17.927418780969198,"endHours":18.41356568781659,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.677418780969198,"endHours":19.427418780969198,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.704738373322595,"endHours":24.482573424278417,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:16","end":"07:43","startHours":6.259893016631812,"endHours":7.718333737173985,"quality":"inauspicious"},{"name":"Udveg","start":"07:43","end":"09:11","startHours":7.718333737173985,"endHours":9.176774457716158,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:38","startHours":9.176774457716158,"endHours":10.635215178258331,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"12:06","startHours":10.635215178258331,"endHours":12.093655898800506,"quality":"auspicious"},{"name":"Amṛta","start":"12:06","end":"13:33","startHours":12.093655898800506,"endHours":13.552096619342677,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"15:01","startHours":13.552096619342677,"endHours":15.010537339884852,"quality":"inauspicious"},{"name":"Śubha","start":"15:01","end":"16:28","startHours":15.010537339884852,"endHours":16.468978060427027,"quality":"auspicious"},{"name":"Roga","start":"16:28","end":"17:56","startHours":16.468978060427027,"endHours":17.927418780969198,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:56","end":"19:28","startHours":17.927418780969198,"endHours":19.468978060427023,"quality":"inauspicious"},{"name":"Śubha","start":"19:28","end":"21:01","startHours":19.468978060427023,"endHours":21.010537339884852,"quality":"auspicious"},{"name":"Roga","start":"21:01","end":"22:33","startHours":21.010537339884852,"endHours":22.552096619342677,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"00:06","startHours":22.552096619342677,"endHours":24.093655898800506,"quality":"inauspicious"},{"name":"Chala","start":"00:06","end":"01:38","startHours":24.093655898800506,"endHours":25.63521517825833,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:11","startHours":25.63521517825833,"endHours":27.176774457716157,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:43","startHours":27.176774457716157,"endHours":28.718333737173985,"quality":"auspicious"},{"name":"Kāla","start":"04:43","end":"06:16","startHours":28.718333737173985,"endHours":30.259893016631814,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.259893016631812,"endHours":7.259893016631812,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.259893016631812,"endHours":8.259893016631812,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.259893016631812,"endHours":9.259893016631812,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.259893016631812,"endHours":10.259893016631812,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.259893016631812,"endHours":11.259893016631812,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.259893016631812,"endHours":12.259893016631812,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.259893016631812,"endHours":13.259893016631812,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.259893016631812,"endHours":14.259893016631812,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.259893016631812,"endHours":15.259893016631812,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.259893016631812,"endHours":16.259893016631814,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.259893016631814,"endHours":17.259893016631814,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.259893016631814,"endHours":18.259893016631814,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.259893016631814,"endHours":19.259893016631814,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.259893016631814,"endHours":20.259893016631814,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.259893016631814,"endHours":21.259893016631814,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.259893016631814,"endHours":22.259893016631814,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.259893016631814,"endHours":23.259893016631814,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.259893016631814,"endHours":24.259893016631814,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.259893016631814,"endHours":25.259893016631814,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.259893016631814,"endHours":26.259893016631814,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.259893016631814,"endHours":27.259893016631814,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.259893016631814,"endHours":28.259893016631814,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.259893016631814,"endHours":29.259893016631814,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.259893016631814,"endHours":30.259893016631814,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.558420353424458,"eotMinutes":13.743446071969673,"ayanamsa":25.4423}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pratipada · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"sharadiya-navratri-start","name":"Śāradīya Navrātri Start","name_sanskrit":"शारदीय नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"Autumn Navrātri begins; Devī Mahiṣāsura-mardinī worship for 9 nights.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"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":[]},"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 10, 2113 CE · Vṛndāvana · Vidhyamitra","description":"October 10, 2113 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 06:16, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2113-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2113-10-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2113-10-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2113-10-10","x-default":"https://vidhyamitra.com/city/vrindavan/2113-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:02:53.714Z","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":"2026-05-31T15:02:53.714Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:02:53.714Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}