{"id":"vidhyamitra:city-day:vrindavan:2075-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2075-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-10-13","date_display":"October 13, 2075 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2075,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479223.770833,"kali_year":5177,"ahargana":1890758.2708,"sun":{"sidereal_longitude":174.0187,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":211.9863,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.9676,"elapsed_within_tithi_degrees":1.9676},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":211.9863,"elapsed_within_degrees":11.9863},"yoga":{"number":2,"name":"Prīti","sum_longitude":26.005},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2075,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479223.770833,"ahargana":1890758.2708,"kali_year":5177,"ayanamsa_lahiri":24.9116,"grahas":{"sun":{"sidereal_longitude":174.94117800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":214.14937800000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":3.2648},"mars":{"sidereal_longitude":115.24327800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":160.434078,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":154.191778,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.06347800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":228.77997800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":78.5278,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.5278,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2075,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479223.770833,"kali_year":5177,"ahargana":1890758.2708,"sun":{"sidereal_longitude":174.0187,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":211.9863,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.9676,"elapsed_within_tithi_degrees":1.9676},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":211.9863,"elapsed_within_degrees":11.9863},"yoga":{"number":2,"name":"Prīti","sum_longitude":26.005},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.265,"elongation":37.968},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.265,"opposition_distance":142.032}},"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":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.582606149839664,"dayLengthDisplay":"11 Hours 34 Mins 57 Secs","nightLengthDisplay":"12 Hours 25 Mins 03 Secs","moonriseLocal":"09:23","moonsetLocal":"20:01","rahuKala":{"name":"Rāhu Kāla","start":"16:26","end":"17:52","startHours":16.425483486055285,"endHours":17.87330925478524,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529831948595366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:59","end":"16:26","startHours":14.977657717325325,"endHours":16.425483486055285,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.99331120657483,"endHours":9.379398078236154,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.773311694522229,"endHours":7.082181191851286,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.695919308204088,"endHours":12.468093051526731,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.746355618300288,"endHours":5.518529361622932,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.325485925792271,"endHours":6.290703104945576,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.012440538172019,"endHours":14.784614281494664,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.67330925478524,"endHours":18.07330925478524,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.87330925478524,"endHours":18.355917844361894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.62330925478524,"endHours":19.37330925478524,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.695919308204086,"endHours":24.468093051526733,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:17","end":"07:44","startHours":6.290703104945576,"endHours":7.738528873675534,"quality":"inauspicious"},{"name":"Chala","start":"07:44","end":"09:11","startHours":7.738528873675534,"endHours":9.186354642405492,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:38","startHours":9.186354642405492,"endHours":10.63418041113545,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:05","startHours":10.63418041113545,"endHours":12.08200617986541,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529831948595366,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:59","startHours":13.529831948595366,"endHours":14.977657717325325,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"16:26","startHours":14.977657717325325,"endHours":16.425483486055285,"quality":"inauspicious"},{"name":"Udveg","start":"16:26","end":"17:52","startHours":16.425483486055285,"endHours":17.87330925478524,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:52","end":"19:26","startHours":17.87330925478524,"endHours":19.42548348605528,"quality":"auspicious"},{"name":"Roga","start":"19:26","end":"20:59","startHours":19.42548348605528,"endHours":20.977657717325325,"quality":"inauspicious"},{"name":"Udveg","start":"20:59","end":"22:32","startHours":20.977657717325325,"endHours":22.529831948595366,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:05","startHours":22.529831948595366,"endHours":24.08200617986541,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:38","startHours":24.08200617986541,"endHours":25.63418041113545,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:11","startHours":25.63418041113545,"endHours":27.18635464240549,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:44","startHours":27.18635464240549,"endHours":28.738528873675534,"quality":"inauspicious"},{"name":"Śubha","start":"04:44","end":"06:17","startHours":28.738528873675534,"endHours":30.290703104945578,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.290703104945576,"endHours":7.290703104945576,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.290703104945576,"endHours":8.290703104945576,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.290703104945576,"endHours":9.290703104945576,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.290703104945576,"endHours":10.290703104945576,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.290703104945576,"endHours":11.290703104945576,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.290703104945576,"endHours":12.290703104945576,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.290703104945576,"endHours":13.290703104945576,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.290703104945576,"endHours":14.290703104945576,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.290703104945576,"endHours":15.290703104945576,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.290703104945576,"endHours":16.290703104945578,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.290703104945578,"endHours":17.290703104945578,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.290703104945578,"endHours":18.290703104945578,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.290703104945578,"endHours":19.290703104945578,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.290703104945578,"endHours":20.290703104945578,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.290703104945578,"endHours":21.290703104945578,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.290703104945578,"endHours":22.290703104945578,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.290703104945578,"endHours":23.290703104945578,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.290703104945578,"endHours":24.290703104945578,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.290703104945578,"endHours":25.290703104945578,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.290703104945578,"endHours":26.290703104945578,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.290703104945578,"endHours":27.290703104945578,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.290703104945578,"endHours":28.290703104945578,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.290703104945578,"endHours":29.290703104945578,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.290703104945578,"endHours":30.290703104945578,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","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":-7.762767192631896,"eotMinutes":14.442429208075392,"ayanamsa":24.9116}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Ravivāra (Sunday) — 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 13, 2075 CE · Vṛndāvana · Vidhyamitra","description":"October 13, 2075 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2075-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2075-10-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2075-10-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2075-10-13","x-default":"https://vidhyamitra.com/city/vrindavan/2075-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-05T22:17:33.942Z","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":"2026-09-05T22:17:33.942Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-05T22:17:33.942Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}