{"id":"vidhyamitra:city-day:vrindavan:2021-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2021-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-10","date_display":"October 10, 2021 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":2021,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459497.770833,"kali_year":5123,"ahargana":1871032.2708,"sun":{"sidereal_longitude":172.012,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":218.212,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2,"elapsed_within_tithi_degrees":10.2},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.212,"elapsed_within_degrees":4.8787},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.224},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2021,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459497.770833,"ahargana":1871032.2708,"kali_year":5123,"ayanamsa_lahiri":24.1572,"grahas":{"sun":{"sidereal_longitude":172.80675599999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":221.66925600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":0.4304},"mars":{"sidereal_longitude":171.847356,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":171.92305599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":298.2597559999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":218.41265599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":282.75695599999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":43.7063,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.7063,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459497.770833,"kali_year":5123,"ahargana":1871032.2708,"sun":{"sidereal_longitude":172.012,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":218.212,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.2,"elapsed_within_tithi_degrees":10.2},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.212,"elapsed_within_degrees":4.8787},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":30.224},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.43,"elongation":46.2},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.43,"opposition_distance":133.8}},"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":"17:55","solarNoonLocal":"12:06","dayLengthHours":11.660099395920753,"dayLengthDisplay":"11 Hours 39 Mins 36 Secs","nightLengthDisplay":"12 Hours 20 Mins 24 Secs","moonriseLocal":"10:05","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"16:28","end":"17:55","startHours":16.46619317227079,"endHours":17.923705596760882,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:06","end":"13:33","startHours":12.093655898800506,"endHours":13.5511683232906,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:28","startHours":15.008680747780694,"endHours":16.46619317227079,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.984296059888305,"endHours":9.37296603975233,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.74944367567016,"endHours":7.06037965956138,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:29","startHours":11.704985918936481,"endHours":12.48232587866453,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:29","startHours":4.708926281384029,"endHours":5.486266241112078,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.291931251180066,"endHours":6.263606200840129,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:49","startHours":14.037005798120632,"endHours":14.814345757848681,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:43","end":"18:07","startHours":17.723705596760883,"endHours":18.12370559676088,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:55","end":"18:25","startHours":17.923705596760882,"endHours":18.409543071590914,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:40","end":"19:25","startHours":17.673705596760882,"endHours":19.423705596760882,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:29","startHours":23.70498591893648,"endHours":24.482325878664533,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:16","end":"07:43","startHours":6.263606200840129,"endHours":7.721118625330223,"quality":"inauspicious"},{"name":"Chala","start":"07:43","end":"09:11","startHours":7.721118625330223,"endHours":9.178631049820318,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:38","startHours":9.178631049820318,"endHours":10.636143474310412,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:06","startHours":10.636143474310412,"endHours":12.093655898800506,"quality":"auspicious"},{"name":"Kāla","start":"12:06","end":"13:33","startHours":12.093655898800506,"endHours":13.5511683232906,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"15:01","startHours":13.5511683232906,"endHours":15.008680747780694,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:28","startHours":15.008680747780694,"endHours":16.46619317227079,"quality":"inauspicious"},{"name":"Udveg","start":"16:28","end":"17:55","startHours":16.46619317227079,"endHours":17.923705596760882,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:55","end":"19:28","startHours":17.923705596760882,"endHours":19.46619317227079,"quality":"auspicious"},{"name":"Roga","start":"19:28","end":"21:01","startHours":19.46619317227079,"endHours":21.008680747780694,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:33","startHours":21.008680747780694,"endHours":22.5511683232906,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:06","startHours":22.5511683232906,"endHours":24.093655898800506,"quality":"neutral"},{"name":"Labha","start":"00:06","end":"01:38","startHours":24.093655898800506,"endHours":25.636143474310412,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:11","startHours":25.636143474310412,"endHours":27.178631049820318,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:43","startHours":27.178631049820318,"endHours":28.721118625330224,"quality":"inauspicious"},{"name":"Śubha","start":"04:43","end":"06:16","startHours":28.721118625330224,"endHours":30.26360620084013,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.263606200840129,"endHours":7.263606200840129,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.263606200840129,"endHours":8.26360620084013,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.26360620084013,"endHours":9.26360620084013,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.26360620084013,"endHours":10.26360620084013,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.26360620084013,"endHours":11.26360620084013,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.26360620084013,"endHours":12.26360620084013,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.26360620084013,"endHours":13.26360620084013,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.26360620084013,"endHours":14.26360620084013,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.26360620084013,"endHours":15.26360620084013,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.26360620084013,"endHours":16.26360620084013,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26360620084013,"endHours":17.26360620084013,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26360620084013,"endHours":18.26360620084013,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26360620084013,"endHours":19.26360620084013,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26360620084013,"endHours":20.26360620084013,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26360620084013,"endHours":21.26360620084013,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26360620084013,"endHours":22.26360620084013,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26360620084013,"endHours":23.26360620084013,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26360620084013,"endHours":24.26360620084013,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26360620084013,"endHours":25.26360620084013,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26360620084013,"endHours":26.26360620084013,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26360620084013,"endHours":27.26360620084013,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26360620084013,"endHours":28.26360620084013,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26360620084013,"endHours":29.26360620084013,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26360620084013,"endHours":30.26360620084013,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"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":-6.663984592525501,"eotMinutes":13.743446071969673,"ayanamsa":24.1572}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"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, 2021 CE · Vṛndāvana · Vidhyamitra","description":"October 10, 2021 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:16, sūryāsta 17:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2021-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2021-10-10","sa":"https://sa.vidhyamitra.com/city/vrindavan/2021-10-10","hi":"https://hi.vidhyamitra.com/city/vrindavan/2021-10-10","x-default":"https://vidhyamitra.com/city/vrindavan/2021-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T03:38:50.044Z","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":"2026-05-15T03:38:50.045Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T03:38:50.045Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}