{"id":"vidhyamitra:city-day:vrindavan:2159-10-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2159-10-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-10-17","date_display":"October 17, 2159 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":2159,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509907.770833,"kali_year":5261,"ahargana":1921442.2708,"sun":{"sidereal_longitude":176.2637,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":243.137,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.8733,"elapsed_within_tithi_degrees":6.8733},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.137,"elapsed_within_degrees":3.137},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.4006},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2159,"month":10,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509907.770833,"ahargana":1921442.2708,"kali_year":5261,"ayanamsa_lahiri":26.0852,"grahas":{"sun":{"sidereal_longitude":177.386523,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":242.01752299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-0.7501},"mars":{"sidereal_longitude":267.63542299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":167.58712300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":176.66572299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":131.78482299999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":182.81062299999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":252.7419,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.7419,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":2159,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509907.770833,"kali_year":5261,"ahargana":1921442.2708,"sun":{"sidereal_longitude":176.2637,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":243.137,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.8733,"elapsed_within_tithi_degrees":6.8733},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.137,"elapsed_within_degrees":3.137},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.4006},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.75,"elongation":66.873},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.75,"opposition_distance":113.127}},"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":"06:20","sunsetLocal":"17:49","solarNoonLocal":"12:04","dayLengthHours":11.486682338364481,"dayLengthDisplay":"11 Hours 29 Mins 12 Secs","nightLengthDisplay":"12 Hours 30 Mins 48 Secs","moonriseLocal":"11:12","moonsetLocal":"21:33","rahuKala":{"name":"Rāhu Kāla","start":"12:04","end":"13:30","startHours":12.068923007299535,"endHours":13.504758299595094,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:46","end":"09:12","startHours":7.761417130412854,"endHours":9.197252422708413,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:04","startHours":10.633087715003974,"endHours":12.068923007299535,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.005807717069006,"endHours":9.388697128347822,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:07","startHours":6.804193602215814,"endHours":7.110505131238867,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:27","startHours":11.68603359602072,"endHours":12.451812418578351,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:34","startHours":4.794024193002029,"endHours":5.559803015559662,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:20","startHours":5.368358309920254,"endHours":6.3255818381172935,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:45","startHours":13.983370063693613,"endHours":14.749148886251245,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.612264176481776,"endHours":18.012264176481775,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:17","startHours":17.812264176481776,"endHours":18.290875940580296,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.562264176481776,"endHours":19.312264176481776,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:27","startHours":23.686033596020717,"endHours":24.451812418578353,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:20","end":"07:46","startHours":6.3255818381172935,"endHours":7.761417130412854,"quality":"auspicious"},{"name":"Amṛta","start":"07:46","end":"09:12","startHours":7.761417130412854,"endHours":9.197252422708413,"quality":"auspicious"},{"name":"Kāla","start":"09:12","end":"10:38","startHours":9.197252422708413,"endHours":10.633087715003974,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:04","startHours":10.633087715003974,"endHours":12.068923007299535,"quality":"auspicious"},{"name":"Roga","start":"12:04","end":"13:30","startHours":12.068923007299535,"endHours":13.504758299595094,"quality":"inauspicious"},{"name":"Udveg","start":"13:30","end":"14:56","startHours":13.504758299595094,"endHours":14.940593591890654,"quality":"inauspicious"},{"name":"Chala","start":"14:56","end":"16:23","startHours":14.940593591890654,"endHours":16.376428884186215,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:49","startHours":16.376428884186215,"endHours":17.812264176481776,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:49","end":"19:23","startHours":17.812264176481776,"endHours":19.376428884186215,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"20:56","startHours":19.376428884186215,"endHours":20.940593591890654,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:30","startHours":20.940593591890654,"endHours":22.504758299595096,"quality":"auspicious"},{"name":"Amṛta","start":"22:30","end":"00:04","startHours":22.504758299595096,"endHours":24.068923007299535,"quality":"auspicious"},{"name":"Kāla","start":"00:04","end":"01:38","startHours":24.068923007299535,"endHours":25.633087715003974,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:12","startHours":25.633087715003974,"endHours":27.197252422708416,"quality":"auspicious"},{"name":"Roga","start":"03:12","end":"04:46","startHours":27.197252422708416,"endHours":28.761417130412855,"quality":"inauspicious"},{"name":"Udveg","start":"04:46","end":"06:20","startHours":28.761417130412855,"endHours":30.325581838117294,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.3255818381172935,"endHours":7.3255818381172935,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.3255818381172935,"endHours":8.325581838117294,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.325581838117294,"endHours":9.325581838117294,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.325581838117294,"endHours":10.325581838117294,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.325581838117294,"endHours":11.325581838117294,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.325581838117294,"endHours":12.325581838117294,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.325581838117294,"endHours":13.325581838117294,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.325581838117294,"endHours":14.325581838117294,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.325581838117294,"endHours":15.325581838117294,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.325581838117294,"endHours":16.325581838117294,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.325581838117294,"endHours":17.325581838117294,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.325581838117294,"endHours":18.325581838117294,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.325581838117294,"endHours":19.325581838117294,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.325581838117294,"endHours":20.325581838117294,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.325581838117294,"endHours":21.325581838117294,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.325581838117294,"endHours":22.325581838117294,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.325581838117294,"endHours":23.325581838117294,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.325581838117294,"endHours":24.325581838117294,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.325581838117294,"endHours":25.325581838117294,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.325581838117294,"endHours":26.325581838117294,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.325581838117294,"endHours":27.325581838117294,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.325581838117294,"endHours":28.325581838117294,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.325581838117294,"endHours":29.325581838117294,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.325581838117294,"endHours":30.325581838117294,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","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":-9.114933377686858,"eotMinutes":15.227419562027912,"ayanamsa":26.0852}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ṣaṣṭhī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"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 17, 2159 CE · Vṛndāvana · Vidhyamitra","description":"October 17, 2159 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 06:20, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2159-10-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2159-10-17","sa":"https://sa.vidhyamitra.com/city/vrindavan/2159-10-17","hi":"https://hi.vidhyamitra.com/city/vrindavan/2159-10-17","x-default":"https://vidhyamitra.com/city/vrindavan/2159-10-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T15:06:17.049Z","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":"2026-05-27T15:06:17.049Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T15:06:17.049Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}