{"id":"vidhyamitra:city-day:vrindavan:2078-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2078-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2078-10-13","date_display":"October 13, 2078 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":2078,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480319.770833,"kali_year":5180,"ahargana":1891854.2708,"sun":{"sidereal_longitude":174.2403,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":255.5856,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3453,"elapsed_within_tithi_degrees":9.3453},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.5856,"elapsed_within_degrees":2.2523},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.8259},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2078,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2480319.770833,"ahargana":1891854.2708,"kali_year":5180,"ayanamsa_lahiri":24.9535,"grahas":{"sun":{"sidereal_longitude":175.17000299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":252.24200299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-3.6907},"mars":{"sidereal_longitude":242.90810299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":196.47580300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":226.79600299999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":175.89120300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":260.78010300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":20.4565,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.4565,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"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":2078,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480319.770833,"kali_year":5180,"ahargana":1891854.2708,"sun":{"sidereal_longitude":174.2403,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":255.5856,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.3453,"elapsed_within_tithi_degrees":9.3453},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.5856,"elapsed_within_degrees":2.2523},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.8259},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.691,"elongation":81.345},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.691,"opposition_distance":98.655}},"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":"06:18","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.57538328105607,"dayLengthDisplay":"11 Hours 34 Mins 31 Secs","nightLengthDisplay":"12 Hours 25 Mins 29 Secs","moonriseLocal":"12:02","moonsetLocal":"22:24","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:59","startHours":13.528929089997417,"endHours":14.975852000129425,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:18","end":"07:44","startHours":6.294314539337374,"endHours":7.7412374494693825,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:11","end":"10:38","startHours":9.18816035960139,"endHours":10.6350832697334,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.995237304917124,"endHours":9.381083414285659,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.776622176048043,"endHours":7.085299063542872,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.696160070496873,"endHours":12.467852289233946,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.750930101863231,"endHours":5.522622320600303,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:18","startHours":5.329699265916035,"endHours":6.294314539337374,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.011236726708088,"endHours":14.782928945445159,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.669697820393445,"endHours":18.069697820393444,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.869697820393444,"endHours":18.352005457104113,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.619697820393444,"endHours":19.369697820393444,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.696160070496873,"endHours":24.467852289233946,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:18","end":"07:44","startHours":6.294314539337374,"endHours":7.7412374494693825,"quality":"auspicious"},{"name":"Roga","start":"07:44","end":"09:11","startHours":7.7412374494693825,"endHours":9.18816035960139,"quality":"inauspicious"},{"name":"Udveg","start":"09:11","end":"10:38","startHours":9.18816035960139,"endHours":10.6350832697334,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:05","startHours":10.6350832697334,"endHours":12.08200617986541,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.528929089997417,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:59","startHours":13.528929089997417,"endHours":14.975852000129425,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:25","startHours":14.975852000129425,"endHours":16.422774910261435,"quality":"inauspicious"},{"name":"Śubha","start":"16:25","end":"17:52","startHours":16.422774910261435,"endHours":17.869697820393444,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:52","end":"19:25","startHours":17.869697820393444,"endHours":19.422774910261435,"quality":"auspicious"},{"name":"Kāla","start":"19:25","end":"20:59","startHours":19.422774910261435,"endHours":20.97585200012943,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:32","startHours":20.97585200012943,"endHours":22.52892908999742,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:05","startHours":22.52892908999742,"endHours":24.08200617986541,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:38","startHours":24.08200617986541,"endHours":25.6350832697334,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:11","startHours":25.6350832697334,"endHours":27.18816035960139,"quality":"neutral"},{"name":"Labha","start":"03:11","end":"04:44","startHours":27.18816035960139,"endHours":28.741237449469384,"quality":"auspicious"},{"name":"Amṛta","start":"04:44","end":"06:18","startHours":28.741237449469384,"endHours":30.294314539337375,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.294314539337374,"endHours":7.294314539337374,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.294314539337374,"endHours":8.294314539337375,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.294314539337375,"endHours":9.294314539337375,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.294314539337375,"endHours":10.294314539337375,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.294314539337375,"endHours":11.294314539337375,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.294314539337375,"endHours":12.294314539337375,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.294314539337375,"endHours":13.294314539337375,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.294314539337375,"endHours":14.294314539337375,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.294314539337375,"endHours":15.294314539337375,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.294314539337375,"endHours":16.294314539337375,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.294314539337375,"endHours":17.294314539337375,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.294314539337375,"endHours":18.294314539337375,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.294314539337375,"endHours":19.294314539337375,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.294314539337375,"endHours":20.294314539337375,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.294314539337375,"endHours":21.294314539337375,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.294314539337375,"endHours":22.294314539337375,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.294314539337375,"endHours":23.294314539337375,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.294314539337375,"endHours":24.294314539337375,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.294314539337375,"endHours":25.294314539337375,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.294314539337375,"endHours":26.294314539337375,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.294314539337375,"endHours":27.294314539337375,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.294314539337375,"endHours":28.294314539337375,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.294314539337375,"endHours":29.294314539337375,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.294314539337375,"endHours":30.294314539337375,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","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":-7.864905539157211,"eotMinutes":14.442429208075392,"ayanamsa":24.9535}},"calendars":{"vikram_samvat":2135,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2000,"saka_samvatsara":"Vilambī","bengali_samvat":1485,"malayalam_era":1254,"nanakshahi_year":609,"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 Saptamī · Vikram 2135 Virodhakṛt · Śaka 2000 Vilambī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2078 CE · Vṛndāvana · Vidhyamitra","description":"October 13, 2078 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 06:18, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2078-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2078-10-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2078-10-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2078-10-13","x-default":"https://vidhyamitra.com/city/vrindavan/2078-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T08:21:20.740Z","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":"2026-09-06T08:21:20.740Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T08:21:20.740Z","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"}}}