{"id":"vidhyamitra:city-day:vrindavan:2101-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-10-04","date_display":"October 4, 2101 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":2101,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488710.770833,"kali_year":5203,"ahargana":1900245.2708,"sun":{"sidereal_longitude":164.4157,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":305.2601,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.8444,"elapsed_within_tithi_degrees":8.8444},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.2601,"elapsed_within_degrees":11.9268},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.6758},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2101,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488710.770833,"ahargana":1900245.2708,"kali_year":5203,"ayanamsa_lahiri":25.2745,"grahas":{"sun":{"sidereal_longitude":165.408505,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":305.736405,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":0.7342},"mars":{"sidereal_longitude":56.63880499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":147.47350500000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":206.65230500000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":210.61130500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":191.28410499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.8609,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.8609,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2101,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488710.770833,"kali_year":5203,"ahargana":1900245.2708,"sun":{"sidereal_longitude":164.4157,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":305.2601,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.8444,"elapsed_within_tithi_degrees":8.8444},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.2601,"elapsed_within_degrees":11.9268},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.6758},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.734,"elongation":140.844},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.734,"opposition_distance":39.156}},"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":"06:12","sunsetLocal":"18:02","solarNoonLocal":"12:07","dayLengthHours":11.830786004187821,"dayLengthDisplay":"11 Hours 49 Mins 51 Secs","nightLengthDisplay":"12 Hours 10 Mins 09 Secs","moonriseLocal":"15:49","moonsetLocal":"03:08","rahuKala":{"name":"Rāhu Kāla","start":"15:05","end":"16:33","startHours":15.078792114585454,"endHours":16.55764036510893,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:39","startHours":9.163399112491543,"endHours":10.64224736301502,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:07","end":"13:36","startHours":12.121095613538497,"endHours":13.599943864061975,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.966219345755079,"endHours":9.360578879228006,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.698652028285746,"endHours":7.014139655064088,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.72673608006557,"endHours":12.515455147011425,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:25","startHours":4.628264477552877,"endHours":5.416983544498732,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:12","startHours":5.219803777762269,"endHours":6.205702611444587,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:53","startHours":14.092893280903134,"endHours":14.88161234784899,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83648861563241,"endHours":18.236488615632407,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:32","startHours":18.036488615632408,"endHours":18.529438032473568,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.786488615632408,"endHours":19.536488615632408,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.72673608006557,"endHours":24.515455147011423,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:12","end":"07:41","startHours":6.205702611444587,"endHours":7.684550861968065,"quality":"inauspicious"},{"name":"Udveg","start":"07:41","end":"09:10","startHours":7.684550861968065,"endHours":9.163399112491543,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:39","startHours":9.163399112491543,"endHours":10.64224736301502,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:07","startHours":10.64224736301502,"endHours":12.121095613538497,"quality":"auspicious"},{"name":"Amṛta","start":"12:07","end":"13:36","startHours":12.121095613538497,"endHours":13.599943864061975,"quality":"auspicious"},{"name":"Kāla","start":"13:36","end":"15:05","startHours":13.599943864061975,"endHours":15.078792114585454,"quality":"inauspicious"},{"name":"Śubha","start":"15:05","end":"16:33","startHours":15.078792114585454,"endHours":16.55764036510893,"quality":"auspicious"},{"name":"Roga","start":"16:33","end":"18:02","startHours":16.55764036510893,"endHours":18.036488615632408,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:02","end":"19:33","startHours":18.036488615632408,"endHours":19.55764036510893,"quality":"inauspicious"},{"name":"Śubha","start":"19:33","end":"21:05","startHours":19.55764036510893,"endHours":21.078792114585454,"quality":"auspicious"},{"name":"Roga","start":"21:05","end":"22:36","startHours":21.078792114585454,"endHours":22.599943864061974,"quality":"inauspicious"},{"name":"Udveg","start":"22:36","end":"00:07","startHours":22.599943864061974,"endHours":24.121095613538497,"quality":"inauspicious"},{"name":"Chala","start":"00:07","end":"01:39","startHours":24.121095613538497,"endHours":25.64224736301502,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:10","startHours":25.64224736301502,"endHours":27.16339911249154,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:41","startHours":27.16339911249154,"endHours":28.684550861968063,"quality":"auspicious"},{"name":"Kāla","start":"04:41","end":"06:12","startHours":28.684550861968063,"endHours":30.205702611444586,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.205702611444587,"endHours":7.205702611444587,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.205702611444587,"endHours":8.205702611444586,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.205702611444586,"endHours":9.205702611444586,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.205702611444586,"endHours":10.205702611444586,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.205702611444586,"endHours":11.205702611444586,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.205702611444586,"endHours":12.205702611444586,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.205702611444586,"endHours":13.205702611444586,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.205702611444586,"endHours":14.205702611444586,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.205702611444586,"endHours":15.205702611444586,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.205702611444586,"endHours":16.205702611444586,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.205702611444586,"endHours":17.205702611444586,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.205702611444586,"endHours":18.205702611444586,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.205702611444586,"endHours":19.205702611444586,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.205702611444586,"endHours":20.205702611444586,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.205702611444586,"endHours":21.205702611444586,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.205702611444586,"endHours":22.205702611444586,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.205702611444586,"endHours":23.205702611444586,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.205702611444586,"endHours":24.205702611444586,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.205702611444586,"endHours":25.205702611444586,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.205702611444586,"endHours":26.205702611444586,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.205702611444586,"endHours":27.205702611444586,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.205702611444586,"endHours":28.205702611444586,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.205702611444586,"endHours":29.205702611444586,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.205702611444586,"endHours":30.205702611444586,"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","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":-4.22823813066348,"eotMinutes":12.09706318769023,"ayanamsa":25.2745}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"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 Dvādaśī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[],"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 4, 2101 CE · Vṛndāvana · Vidhyamitra","description":"October 4, 2101 CE for Vṛndāvana: Śukla Dvādaśī, sūryodaya 06:12, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-10-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-10-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-10-04","x-default":"https://vidhyamitra.com/city/vrindavan/2101-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:08:59.236Z","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":"2026-06-01T09:08:59.236Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:08:59.236Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}