{"id":"vidhyamitra:city-day:varanasi:-3129-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3129-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3129-07-13","date_display":"July 13, 3130 BCE","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":-3129,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578383.770833,"kali_year":-27,"ahargana":-10081.7292,"sun":{"sidereal_longitude":141.2857,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":4.7849,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.4992,"elapsed_within_tithi_degrees":7.4992},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.7849,"elapsed_within_degrees":4.7849},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0705},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3129,"month":7,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578383.770833,"ahargana":-10081.7292,"kali_year":-27,"ayanamsa_lahiri":-47.7884,"grahas":{"sun":{"sidereal_longitude":141.2857,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":4.7849,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":0.8274},"mars":{"sidereal_longitude":128.2736,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":146.5255,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":225.9752,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":104.511,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":22.9744,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":354.1785,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":174.1785,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3129,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578383.770833,"kali_year":-27,"ahargana":-10081.7292,"sun":{"sidereal_longitude":141.2857,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":4.7849,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.4992,"elapsed_within_tithi_degrees":7.4992},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.7849,"elapsed_within_degrees":4.7849},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.0705},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.827,"elongation":136.501},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.827,"opposition_distance":43.499}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:12","sunsetLocal":"18:55","solarNoonLocal":"12:03","dayLengthHours":13.711336366868146,"dayLengthDisplay":"13 Hours 42 Mins 41 Secs","nightLengthDisplay":"10 Hours 17 Mins 19 Secs","moonriseLocal":"21:25","moonsetLocal":"08:30","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:46","startHours":12.057763814102678,"endHours":13.771680859961197,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:55","end":"08:38","startHours":6.916012676527123,"endHours":8.62992972238564,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:21","end":"12:03","startHours":10.343846768244159,"endHours":12.057763814102678,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:52","startHours":8.401407449604505,"endHours":8.858451995166776,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:46","end":"06:08","startHours":5.773401312621444,"endHours":6.1390369490712615,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:31","startHours":11.600719268540407,"endHours":12.514808359664949,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:22","end":"04:17","startHours":3.373917448419518,"endHours":4.288006539544061,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:04","end":"05:12","startHours":4.059484266762926,"endHours":5.202095630668604,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:15","startHours":14.342986541914033,"endHours":15.257075633038577,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.713431997536752,"endHours":19.11343199753675,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:29","startHours":18.91343199753675,"endHours":19.48473767948959,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.66343199753675,"endHours":20.41343199753675,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:31","startHours":23.600719268540406,"endHours":24.51480835966495,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:12","end":"06:55","startHours":5.202095630668604,"endHours":6.916012676527123,"quality":"auspicious"},{"name":"Amṛta","start":"06:55","end":"08:38","startHours":6.916012676527123,"endHours":8.62992972238564,"quality":"auspicious"},{"name":"Kāla","start":"08:38","end":"10:21","startHours":8.62992972238564,"endHours":10.343846768244159,"quality":"inauspicious"},{"name":"Śubha","start":"10:21","end":"12:03","startHours":10.343846768244159,"endHours":12.057763814102678,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:46","startHours":12.057763814102678,"endHours":13.771680859961197,"quality":"inauspicious"},{"name":"Udveg","start":"13:46","end":"15:29","startHours":13.771680859961197,"endHours":15.485597905819713,"quality":"inauspicious"},{"name":"Chala","start":"15:29","end":"17:12","startHours":15.485597905819713,"endHours":17.199514951678232,"quality":"neutral"},{"name":"Labha","start":"17:12","end":"18:55","startHours":17.199514951678232,"endHours":18.91343199753675,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:12","startHours":18.91343199753675,"endHours":20.199514951678232,"quality":"inauspicious"},{"name":"Chala","start":"20:12","end":"21:29","startHours":20.199514951678232,"endHours":21.485597905819716,"quality":"neutral"},{"name":"Labha","start":"21:29","end":"22:46","startHours":21.485597905819716,"endHours":22.771680859961197,"quality":"auspicious"},{"name":"Amṛta","start":"22:46","end":"00:03","startHours":22.771680859961197,"endHours":24.057763814102678,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:21","startHours":24.057763814102678,"endHours":25.34384676824416,"quality":"inauspicious"},{"name":"Śubha","start":"01:21","end":"02:38","startHours":25.34384676824416,"endHours":26.62992972238564,"quality":"auspicious"},{"name":"Roga","start":"02:38","end":"03:55","startHours":26.62992972238564,"endHours":27.916012676527124,"quality":"inauspicious"},{"name":"Udveg","start":"03:55","end":"05:12","startHours":27.916012676527124,"endHours":29.202095630668605,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.202095630668604,"endHours":6.202095630668604,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.202095630668604,"endHours":7.202095630668604,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.202095630668604,"endHours":8.202095630668605,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.202095630668605,"endHours":9.202095630668605,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.202095630668605,"endHours":10.202095630668605,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.202095630668605,"endHours":11.202095630668605,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.202095630668605,"endHours":12.202095630668605,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.202095630668605,"endHours":13.202095630668605,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.202095630668605,"endHours":14.202095630668605,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.202095630668605,"endHours":15.202095630668605,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.202095630668605,"endHours":16.202095630668605,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.202095630668605,"endHours":17.202095630668605,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.202095630668605,"endHours":18.202095630668605,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.202095630668605,"endHours":19.202095630668605,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.202095630668605,"endHours":20.202095630668605,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.202095630668605,"endHours":21.202095630668605,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.202095630668605,"endHours":22.202095630668605,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.202095630668605,"endHours":23.202095630668605,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.202095630668605,"endHours":24.202095630668605,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.202095630668605,"endHours":25.202095630668605,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.202095630668605,"endHours":26.202095630668605,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.202095630668605,"endHours":27.202095630668605,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.202095630668605,"endHours":28.202095630668605,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.202095630668605,"endHours":29.202095630668605,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.390252670589707,"eotMinutes":-5.361428846160681,"ayanamsa":-47.7884}},"calendars":{"vikram_samvat":-3072,"saka_samvat":-3207,"bengali_samvat":-3722,"malayalam_era":-3953,"nanakshahi_year":-4598,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Caturthī · Vikram -3072 undefined · Śaka -3207 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 3130 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 13, 3130 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 05:12, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3129-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3129-07-13","sa":"https://sa.vidhyamitra.com/city/varanasi/-3129-07-13","hi":"https://hi.vidhyamitra.com/city/varanasi/-3129-07-13","x-default":"https://vidhyamitra.com/city/varanasi/-3129-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T08:11:56.136Z","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":"2026-08-11T08:11:56.136Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T08:11:56.136Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}