{"id":"vidhyamitra:city-day:vrindavan:2118-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2118-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2118-10-31","date_display":"October 31, 2118 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":2118,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494946.770833,"kali_year":5220,"ahargana":1906481.2708,"sun":{"sidereal_longitude":190.8336,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":30.5177,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.6841,"elapsed_within_tithi_degrees":7.6841},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.5177,"elapsed_within_degrees":3.851},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.3512},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2118,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494946.770833,"ahargana":1906481.2708,"kali_year":5220,"ayanamsa_lahiri":25.513,"grahas":{"sun":{"sidereal_longitude":191.81634400000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":28.783143999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":4.08},"mars":{"sidereal_longitude":83.166044,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":204.84404400000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":19.41544399999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":199.43354399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":37.52664400000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":325.4476,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":145.4476,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2118,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494946.770833,"kali_year":5220,"ahargana":1906481.2708,"sun":{"sidereal_longitude":190.8336,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":30.5177,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":199.6841,"elapsed_within_tithi_degrees":7.6841},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.5177,"elapsed_within_degrees":3.851},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.3512},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.08,"elongation":160.316},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.08,"opposition_distance":19.684}},"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":"06:29","sunsetLocal":"17:37","solarNoonLocal":"12:03","dayLengthHours":11.136193761396964,"dayLengthDisplay":"11 Hours 08 Mins 10 Secs","nightLengthDisplay":"12 Hours 51 Mins 50 Secs","moonriseLocal":"18:27","moonsetLocal":"07:55","rahuKala":{"name":"Rāhu Kāla","start":"07:52","end":"09:16","startHours":7.872427680300667,"endHours":9.264451900475288,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:03","startHours":10.65647612064991,"endHours":12.048500340824528,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:50","startHours":13.440524560999151,"endHours":14.83254878117377,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.078848671118672,"endHours":9.450055129831904,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:14","startHours":6.944411533517588,"endHours":7.241376700488174,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.677293882111298,"endHours":12.419706799537762,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:44","startHours":4.995577625273119,"endHours":5.737990542699583,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:29","startHours":5.552387313342967,"endHours":6.480403460126047,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.90453263439069,"endHours":14.646945551817154,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.416597221523013,"endHours":17.81659722152301,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.616597221523012,"endHours":18.08060529491455,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.366597221523012,"endHours":19.116597221523012,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.6772938821113,"endHours":24.419706799537764,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:29","end":"07:52","startHours":6.480403460126047,"endHours":7.872427680300667,"quality":"auspicious"},{"name":"Kāla","start":"07:52","end":"09:16","startHours":7.872427680300667,"endHours":9.264451900475288,"quality":"inauspicious"},{"name":"Śubha","start":"09:16","end":"10:39","startHours":9.264451900475288,"endHours":10.65647612064991,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:03","startHours":10.65647612064991,"endHours":12.048500340824528,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:26","startHours":12.048500340824528,"endHours":13.440524560999151,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:50","startHours":13.440524560999151,"endHours":14.83254878117377,"quality":"neutral"},{"name":"Labha","start":"14:50","end":"16:13","startHours":14.83254878117377,"endHours":16.22457300134839,"quality":"auspicious"},{"name":"Amṛta","start":"16:13","end":"17:37","startHours":16.22457300134839,"endHours":17.616597221523012,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:13","startHours":17.616597221523012,"endHours":19.224573001348393,"quality":"neutral"},{"name":"Labha","start":"19:13","end":"20:50","startHours":19.224573001348393,"endHours":20.83254878117377,"quality":"auspicious"},{"name":"Amṛta","start":"20:50","end":"22:26","startHours":20.83254878117377,"endHours":22.44052456099915,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"00:03","startHours":22.44052456099915,"endHours":24.048500340824532,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:39","startHours":24.048500340824532,"endHours":25.65647612064991,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:16","startHours":25.65647612064991,"endHours":27.26445190047529,"quality":"inauspicious"},{"name":"Udveg","start":"03:16","end":"04:52","startHours":27.26445190047529,"endHours":28.872427680300667,"quality":"inauspicious"},{"name":"Chala","start":"04:52","end":"06:29","startHours":28.872427680300667,"endHours":30.48040346012605,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.480403460126047,"endHours":7.480403460126047,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.480403460126047,"endHours":8.480403460126048,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.480403460126048,"endHours":9.480403460126048,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.480403460126048,"endHours":10.480403460126048,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.480403460126048,"endHours":11.480403460126048,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.480403460126048,"endHours":12.480403460126048,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.480403460126048,"endHours":13.480403460126048,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.480403460126048,"endHours":14.480403460126048,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.480403460126048,"endHours":15.480403460126048,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.480403460126048,"endHours":16.48040346012605,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.48040346012605,"endHours":17.48040346012605,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.48040346012605,"endHours":18.48040346012605,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.48040346012605,"endHours":19.48040346012605,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.48040346012605,"endHours":20.48040346012605,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.48040346012605,"endHours":21.48040346012605,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.48040346012605,"endHours":22.48040346012605,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.48040346012605,"endHours":23.48040346012605,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.48040346012605,"endHours":24.48040346012605,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.48040346012605,"endHours":25.48040346012605,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.48040346012605,"endHours":26.48040346012605,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.48040346012605,"endHours":27.48040346012605,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.48040346012605,"endHours":28.48040346012605,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.48040346012605,"endHours":29.48040346012605,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.48040346012605,"endHours":30.48040346012605,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","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":-13.956388016938307,"eotMinutes":16.45277955052819,"ayanamsa":25.513}},"calendars":{"vikram_samvat":2175,"vikram_samvatsara":"Khara","saka_samvat":2040,"saka_samvatsara":"Bahudhānya","bengali_samvat":1525,"malayalam_era":1294,"nanakshahi_year":649,"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 Dvitīyā · Vikram 2175 Khara · Śaka 2040 Bahudhānya"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 31, 2118 CE · Vṛndāvana · Vidhyamitra","description":"October 31, 2118 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 06:29, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2118-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2118-10-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2118-10-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2118-10-31","x-default":"https://vidhyamitra.com/city/vrindavan/2118-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:10:47.381Z","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":"2026-06-02T02:10:47.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:10:47.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}