{"id":"vidhyamitra:city-day:vrindavan:2116-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-10-30","date_display":"October 30, 2116 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":2116,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494215.770833,"kali_year":5218,"ahargana":1905750.2708,"sun":{"sidereal_longitude":190.35,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":115.0755,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7255,"elapsed_within_tithi_degrees":8.7255},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.0755,"elapsed_within_degrees":8.4088},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.4255},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2116,"month":10,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494215.770833,"ahargana":1905750.2708,"kali_year":5218,"ayanamsa_lahiri":25.485,"grahas":{"sun":{"sidereal_longitude":191.32987300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":114.15797299999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":4.2035},"mars":{"sidereal_longitude":41.369573,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":206.036973,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":300.19577300000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":161.45597299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":7.968073000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":4.1795,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":184.1795,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2116,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494215.770833,"kali_year":5218,"ahargana":1905750.2708,"sun":{"sidereal_longitude":190.35,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":115.0755,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7255,"elapsed_within_tithi_degrees":8.7255},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.0755,"elapsed_within_degrees":8.4088},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.4255},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.203,"elongation":75.275},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.203,"opposition_distance":104.725}},"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":"06:28","sunsetLocal":"17:37","solarNoonLocal":"12:03","dayLengthHours":11.1485968664961,"dayLengthDisplay":"11 Hours 08 Mins 55 Secs","nightLengthDisplay":"12 Hours 51 Mins 05 Secs","moonriseLocal":"00:19","moonsetLocal":"13:29","rahuKala":{"name":"Rāhu Kāla","start":"10:39","end":"12:03","startHours":10.654975160533555,"endHours":12.048549768845568,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:50","end":"16:14","startHours":14.835698985469591,"endHours":16.229273593781606,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:16","startHours":7.86782594390953,"endHours":9.261400552221541,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.075590604446607,"endHours":9.447210499996476,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:14","startHours":6.938776205034855,"endHours":7.23607212147475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.676929873295698,"endHours":12.420169664395438,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:44","startHours":4.987771753398038,"endHours":5.731011544497777,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:28","startHours":5.545201596722842,"endHours":6.4742513355975175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.906649246594917,"endHours":14.649889037694656,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42284820209362,"endHours":17.822848202093617,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.622848202093618,"endHours":18.087373071530955,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.372848202093618,"endHours":19.122848202093618,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.6769298732957,"endHours":24.420169664395438,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:28","end":"07:52","startHours":6.4742513355975175,"endHours":7.86782594390953,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:16","startHours":7.86782594390953,"endHours":9.261400552221541,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:39","startHours":9.261400552221541,"endHours":10.654975160533555,"quality":"auspicious"},{"name":"Kāla","start":"10:39","end":"12:03","startHours":10.654975160533555,"endHours":12.048549768845568,"quality":"inauspicious"},{"name":"Śubha","start":"12:03","end":"13:27","startHours":12.048549768845568,"endHours":13.44212437715758,"quality":"auspicious"},{"name":"Roga","start":"13:27","end":"14:50","startHours":13.44212437715758,"endHours":14.835698985469591,"quality":"inauspicious"},{"name":"Udveg","start":"14:50","end":"16:14","startHours":14.835698985469591,"endHours":16.229273593781606,"quality":"inauspicious"},{"name":"Chala","start":"16:14","end":"17:37","startHours":16.229273593781606,"endHours":17.622848202093618,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:14","startHours":17.622848202093618,"endHours":19.229273593781606,"quality":"inauspicious"},{"name":"Udveg","start":"19:14","end":"20:50","startHours":19.229273593781606,"endHours":20.83569898546959,"quality":"inauspicious"},{"name":"Chala","start":"20:50","end":"22:27","startHours":20.83569898546959,"endHours":22.44212437715758,"quality":"neutral"},{"name":"Labha","start":"22:27","end":"00:03","startHours":22.44212437715758,"endHours":24.048549768845568,"quality":"auspicious"},{"name":"Amṛta","start":"00:03","end":"01:39","startHours":24.048549768845568,"endHours":25.654975160533557,"quality":"auspicious"},{"name":"Kāla","start":"01:39","end":"03:16","startHours":25.654975160533557,"endHours":27.261400552221545,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:52","startHours":27.261400552221545,"endHours":28.86782594390953,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:28","startHours":28.86782594390953,"endHours":30.47425133559752,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:28","end":"07:28","startHours":6.4742513355975175,"endHours":7.4742513355975175,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:28","end":"08:28","startHours":7.4742513355975175,"endHours":8.474251335597518,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:28","end":"09:28","startHours":8.474251335597518,"endHours":9.474251335597518,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:28","end":"10:28","startHours":9.474251335597518,"endHours":10.474251335597518,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:28","end":"11:28","startHours":10.474251335597518,"endHours":11.474251335597518,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:28","end":"12:28","startHours":11.474251335597518,"endHours":12.474251335597518,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:28","end":"13:28","startHours":12.474251335597518,"endHours":13.474251335597518,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:28","end":"14:28","startHours":13.474251335597518,"endHours":14.474251335597518,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:28","end":"15:28","startHours":14.474251335597518,"endHours":15.474251335597518,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:28","end":"16:28","startHours":15.474251335597518,"endHours":16.47425133559752,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:28","end":"17:28","startHours":16.47425133559752,"endHours":17.47425133559752,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:28","end":"18:28","startHours":17.47425133559752,"endHours":18.47425133559752,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:28","end":"19:28","startHours":18.47425133559752,"endHours":19.47425133559752,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:28","end":"20:28","startHours":19.47425133559752,"endHours":20.47425133559752,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:28","end":"21:28","startHours":20.47425133559752,"endHours":21.47425133559752,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:28","end":"22:28","startHours":21.47425133559752,"endHours":22.47425133559752,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:28","end":"23:28","startHours":22.47425133559752,"endHours":23.47425133559752,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:28","end":"00:28","startHours":23.47425133559752,"endHours":24.47425133559752,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:28","end":"01:28","startHours":24.47425133559752,"endHours":25.47425133559752,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:28","end":"02:28","startHours":25.47425133559752,"endHours":26.47425133559752,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:28","end":"03:28","startHours":26.47425133559752,"endHours":27.47425133559752,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:28","end":"04:28","startHours":27.47425133559752,"endHours":28.47425133559752,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:28","end":"05:28","startHours":28.47425133559752,"endHours":29.47425133559752,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:28","end":"06:28","startHours":29.47425133559752,"endHours":30.47425133559752,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.788220335632799,"eotMinutes":16.449813869265995,"ayanamsa":25.485}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Navamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 30, 2116 CE · Vṛndāvana · Vidhyamitra","description":"October 30, 2116 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 06:28, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-10-30","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-10-30","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-10-30","x-default":"https://vidhyamitra.com/city/vrindavan/2116-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:14:30.474Z","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":"2026-05-31T15:14:30.474Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:14:30.474Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}