{"id":"vidhyamitra:city-day:vrindavan:2138-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2138-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-10-12","date_display":"October 12, 2138 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":2138,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502232.770833,"kali_year":5240,"ahargana":1913767.2708,"sun":{"sidereal_longitude":171.7405,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":268.5837,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.8432,"elapsed_within_tithi_degrees":0.8432},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.5837,"elapsed_within_degrees":1.917},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.3242},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2138,"month":10,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502232.770833,"ahargana":1913767.2708,"kali_year":5240,"ayanamsa_lahiri":25.7916,"grahas":{"sun":{"sidereal_longitude":172.81886499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":267.176065,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-2.3036},"mars":{"sidereal_longitude":214.00266499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":196.22666500000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":244.27806499999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":142.383665,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":272.35656500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":299.4003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.4003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2138,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502232.770833,"kali_year":5240,"ahargana":1913767.2708,"sun":{"sidereal_longitude":171.7405,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":268.5837,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.8432,"elapsed_within_tithi_degrees":0.8432},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.5837,"elapsed_within_degrees":1.917},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.3242},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.304,"elongation":96.843},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.304,"opposition_distance":83.157}},"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":"06:17","sunsetLocal":"17:54","solarNoonLocal":"12:05","dayLengthHours":11.615839964044138,"dayLengthDisplay":"11 Hours 36 Mins 57 Secs","nightLengthDisplay":"12 Hours 23 Mins 03 Secs","moonriseLocal":"13:07","moonsetLocal":"23:38","rahuKala":{"name":"Rāhu Kāla","start":"16:26","end":"17:54","startHours":16.44166220503022,"endHours":17.893642200535737,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:32","startHours":12.085722218513668,"endHours":13.537702214019186,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:26","startHours":14.989682209524702,"endHours":16.44166220503022,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:23","startHours":8.988164894768564,"endHours":9.375359560236703,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:04","startHours":6.761795568326772,"endHours":7.071551300701282,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.69852755304553,"endHours":12.472916883981807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:30","startHours":4.729023574619047,"endHours":5.503412905555323,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:17","startHours":5.309815572821254,"endHours":6.277802236491599,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:48","startHours":14.021695545854357,"endHours":14.796084876790632,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.693642200535738,"endHours":18.093642200535736,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:23","startHours":17.893642200535737,"endHours":18.37763553237091,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.643642200535737,"endHours":19.393642200535737,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.69852755304553,"endHours":24.472916883981803,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:17","end":"07:44","startHours":6.277802236491599,"endHours":7.729782231997117,"quality":"inauspicious"},{"name":"Chala","start":"07:44","end":"09:11","startHours":7.729782231997117,"endHours":9.181762227502634,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:38","startHours":9.181762227502634,"endHours":10.63374222300815,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:05","startHours":10.63374222300815,"endHours":12.085722218513668,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:32","startHours":12.085722218513668,"endHours":13.537702214019186,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:59","startHours":13.537702214019186,"endHours":14.989682209524702,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:26","startHours":14.989682209524702,"endHours":16.44166220503022,"quality":"inauspicious"},{"name":"Udveg","start":"16:26","end":"17:54","startHours":16.44166220503022,"endHours":17.893642200535737,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:54","end":"19:26","startHours":17.893642200535737,"endHours":19.44166220503022,"quality":"auspicious"},{"name":"Roga","start":"19:26","end":"20:59","startHours":19.44166220503022,"endHours":20.9896822095247,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:32","startHours":20.9896822095247,"endHours":22.537702214019184,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:05","startHours":22.537702214019184,"endHours":24.085722218513666,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:38","startHours":24.085722218513666,"endHours":25.63374222300815,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:11","startHours":25.63374222300815,"endHours":27.181762227502634,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:44","startHours":27.181762227502634,"endHours":28.729782231997117,"quality":"inauspicious"},{"name":"Śubha","start":"04:44","end":"06:17","startHours":28.729782231997117,"endHours":30.2778022364916,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.277802236491599,"endHours":7.277802236491599,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.277802236491599,"endHours":8.277802236491599,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.277802236491599,"endHours":9.277802236491599,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.277802236491599,"endHours":10.277802236491599,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.277802236491599,"endHours":11.277802236491599,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.277802236491599,"endHours":12.277802236491599,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.277802236491599,"endHours":13.277802236491599,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.277802236491599,"endHours":14.277802236491599,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.277802236491599,"endHours":15.277802236491599,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.277802236491599,"endHours":16.2778022364916,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.2778022364916,"endHours":17.2778022364916,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.2778022364916,"endHours":18.2778022364916,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.2778022364916,"endHours":19.2778022364916,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.2778022364916,"endHours":20.2778022364916,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.2778022364916,"endHours":21.2778022364916,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.2778022364916,"endHours":22.2778022364916,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.2778022364916,"endHours":23.2778022364916,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.2778022364916,"endHours":24.2778022364916,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.2778022364916,"endHours":25.2778022364916,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.2778022364916,"endHours":26.2778022364916,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.2778022364916,"endHours":27.2778022364916,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.2778022364916,"endHours":28.2778022364916,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.2778022364916,"endHours":29.2778022364916,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.2778022364916,"endHours":30.2778022364916,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.292185254458374,"eotMinutes":14.219466889179907,"ayanamsa":25.7916}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Navamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 12, 2138 CE · Vṛndāvana · Vidhyamitra","description":"October 12, 2138 CE for Vṛndāvana: Śukla Navamī, sūryodaya 06:17, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2138-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2138-10-12","sa":"https://sa.vidhyamitra.com/city/vrindavan/2138-10-12","hi":"https://hi.vidhyamitra.com/city/vrindavan/2138-10-12","x-default":"https://vidhyamitra.com/city/vrindavan/2138-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:42:58.333Z","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":"2026-05-31T17:42:58.333Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:42:58.333Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}