{"id":"vidhyamitra:city-day:varanasi:2045-08-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2045-08-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-06","date_display":"August 6, 2045 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":2045,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468198.770833,"kali_year":5147,"ahargana":1879733.2708,"sun":{"sidereal_longitude":108.851,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":23.2623,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.4114,"elapsed_within_tithi_degrees":10.4114},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.2623,"elapsed_within_degrees":9.929},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":132.1133},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2045,"month":8,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468198.770833,"ahargana":1879733.2708,"kali_year":5147,"ayanamsa_lahiri":24.4899,"grahas":{"sun":{"sidereal_longitude":109.52441399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":20.025914,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":4.4392},"mars":{"sidereal_longitude":83.74651399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":94.471814,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":315.94611399999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":144.53961400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":219.76381400000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.6854,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.6854,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"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":2045,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468198.770833,"kali_year":5147,"ahargana":1879733.2708,"sun":{"sidereal_longitude":108.851,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":23.2623,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.4114,"elapsed_within_tithi_degrees":10.4114},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.2623,"elapsed_within_degrees":9.929},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":132.1133},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.439,"elongation":85.589},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.439,"opposition_distance":94.411}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:27","sunsetLocal":"18:40","solarNoonLocal":"12:04","dayLengthHours":13.212112159215387,"dayLengthDisplay":"13 Hours 12 Mins 44 Secs","nightLengthDisplay":"10 Hours 47 Mins 16 Secs","moonriseLocal":"23:31","moonsetLocal":"12:40","rahuKala":{"name":"Rāhu Kāla","start":"17:01","end":"18:40","startHours":17.016154145189528,"endHours":18.667668165091452,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:43","startHours":12.061612085483759,"endHours":13.713126105385683,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:22","end":"17:01","startHours":15.364640125287604,"endHours":17.016154145189528,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:59","startHours":8.538382176359654,"endHours":8.978785915000168,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:00","end":"06:22","startHours":6.006060679176706,"endHours":6.3583836700891165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:30","startHours":11.621208346843247,"endHours":12.502015824124271,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:34","startHours":3.693941051314013,"endHours":4.574748528595038,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:21","end":"05:27","startHours":4.354546659274782,"endHours":5.455556005876065,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:09","startHours":14.263630778686323,"endHours":15.14443825596735,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.467668165091453,"endHours":18.86766816509145,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:13","startHours":18.667668165091452,"endHours":19.218172838392093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.417668165091452,"endHours":20.167668165091452,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:30","startHours":23.621208346843247,"endHours":24.50201582412427,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:27","end":"07:06","startHours":5.455556005876065,"endHours":7.107070025777988,"quality":"inauspicious"},{"name":"Chala","start":"07:06","end":"08:46","startHours":7.107070025777988,"endHours":8.75858404567991,"quality":"neutral"},{"name":"Labha","start":"08:46","end":"10:25","startHours":8.75858404567991,"endHours":10.410098065581835,"quality":"auspicious"},{"name":"Amṛta","start":"10:25","end":"12:04","startHours":10.410098065581835,"endHours":12.061612085483759,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:43","startHours":12.061612085483759,"endHours":13.713126105385683,"quality":"inauspicious"},{"name":"Śubha","start":"13:43","end":"15:22","startHours":13.713126105385683,"endHours":15.364640125287604,"quality":"auspicious"},{"name":"Roga","start":"15:22","end":"17:01","startHours":15.364640125287604,"endHours":17.016154145189528,"quality":"inauspicious"},{"name":"Udveg","start":"17:01","end":"18:40","startHours":17.016154145189528,"endHours":18.667668165091452,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:40","end":"20:01","startHours":18.667668165091452,"endHours":20.016154145189528,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"21:22","startHours":20.016154145189528,"endHours":21.364640125287607,"quality":"inauspicious"},{"name":"Udveg","start":"21:22","end":"22:43","startHours":21.364640125287607,"endHours":22.713126105385683,"quality":"inauspicious"},{"name":"Chala","start":"22:43","end":"00:04","startHours":22.713126105385683,"endHours":24.06161208548376,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:25","startHours":24.06161208548376,"endHours":25.410098065581835,"quality":"auspicious"},{"name":"Amṛta","start":"01:25","end":"02:46","startHours":25.410098065581835,"endHours":26.75858404567991,"quality":"auspicious"},{"name":"Kāla","start":"02:46","end":"04:06","startHours":26.75858404567991,"endHours":28.10707002577799,"quality":"inauspicious"},{"name":"Śubha","start":"04:06","end":"05:27","startHours":28.10707002577799,"endHours":29.455556005876065,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.455556005876065,"endHours":6.455556005876065,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.455556005876065,"endHours":7.455556005876065,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.455556005876065,"endHours":8.455556005876065,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.455556005876065,"endHours":9.455556005876065,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.455556005876065,"endHours":10.455556005876065,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.455556005876065,"endHours":11.455556005876065,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.455556005876065,"endHours":12.455556005876065,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.455556005876065,"endHours":13.455556005876065,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.455556005876065,"endHours":14.455556005876065,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.455556005876065,"endHours":15.455556005876065,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.455556005876065,"endHours":16.455556005876065,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.455556005876065,"endHours":17.455556005876065,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.455556005876065,"endHours":18.455556005876065,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.455556005876065,"endHours":19.455556005876065,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.455556005876065,"endHours":20.455556005876065,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.455556005876065,"endHours":21.455556005876065,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.455556005876065,"endHours":22.455556005876065,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.455556005876065,"endHours":23.455556005876065,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.455556005876065,"endHours":24.455556005876065,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.455556005876065,"endHours":25.455556005876065,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.455556005876065,"endHours":26.455556005876065,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.455556005876065,"endHours":27.455556005876065,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.455556005876065,"endHours":28.455556005876065,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.455556005876065,"endHours":29.455556005876065,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":16.620770654408382,"eotMinutes":-5.592325129025582,"ayanamsa":24.4899}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Aṣṭamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"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 August 6, 2045 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"August 6, 2045 CE for Vārāṇasī (Kāśī): Kṛṣṇa Aṣṭamī, sūryodaya 05:27, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2045-08-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2045-08-06","sa":"https://sa.vidhyamitra.com/city/varanasi/2045-08-06","hi":"https://hi.vidhyamitra.com/city/varanasi/2045-08-06","x-default":"https://vidhyamitra.com/city/varanasi/2045-08-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:07:45.792Z","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":"2026-05-14T17:07:45.792Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:07:45.792Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}