{"id":"vidhyamitra:city-day:dwarka:2045-08-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2045-08-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-08-02","date_display":"August 2, 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":"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":2045,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468194.770833,"kali_year":5147,"ahargana":1879729.2708,"sun":{"sidereal_longitude":105.045,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":333.6971,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.6521,"elapsed_within_tithi_degrees":0.6521},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":333.6971,"elapsed_within_degrees":0.3637},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.742},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2045,"month":8,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468194.770833,"ahargana":1879729.2708,"kali_year":5147,"ayanamsa_lahiri":24.4898,"grahas":{"sun":{"sidereal_longitude":105.69536700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":330.418267,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":2.3024},"mars":{"sidereal_longitude":81.11336700000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":95.42086699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":316.346767,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":139.79906700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":219.79266699999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":302.8973,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.8973,"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":"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":2045,"month":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468194.770833,"kali_year":5147,"ahargana":1879729.2708,"sun":{"sidereal_longitude":105.045,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":333.6971,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.6521,"elapsed_within_tithi_degrees":0.6521},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":333.6971,"elapsed_within_degrees":0.3637},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":78.742},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.302,"elongation":131.348},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.302,"opposition_distance":48.652}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"06:26","sunsetLocal":"19:34","solarNoonLocal":"13:00","dayLengthHours":13.126271395985533,"dayLengthDisplay":"13 Hours 07 Mins 35 Secs","nightLengthDisplay":"10 Hours 52 Mins 25 Secs","moonriseLocal":"22:00","moonsetLocal":"09:58","rahuKala":{"name":"Rāhu Kāla","start":"13:00","end":"14:39","startHours":13.001318868668953,"endHours":14.642102793167144,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:05","end":"09:43","startHours":8.078967095174379,"endHours":9.719751019672572,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:22","end":"13:00","startHours":11.360534944170762,"endHours":13.001318868668953,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:56","startHours":9.500979829739478,"endHours":9.938522209605663,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:20","startHours":6.985111145508918,"endHours":7.3351450494018655,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:34","end":"13:26","startHours":12.563776488802768,"endHours":13.438861248535138,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:41","end":"05:34","startHours":4.68801365121145,"endHours":5.563098410943819,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:26","startHours":5.344327221010726,"endHours":6.438183170676187,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"15:11","end":"16:04","startHours":15.189030767999878,"endHours":16.06411552773225,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:22","end":"19:46","startHours":19.36445456666172,"endHours":19.76445456666172,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:34","end":"20:07","startHours":19.56445456666172,"endHours":20.11138254149445,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:19","end":"21:04","startHours":19.31445456666172,"endHours":21.06445456666172,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:34","end":"01:26","startHours":24.56377648880277,"endHours":25.438861248535137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:26","end":"08:05","startHours":6.438183170676187,"endHours":8.078967095174379,"quality":"auspicious"},{"name":"Amṛta","start":"08:05","end":"09:43","startHours":8.078967095174379,"endHours":9.719751019672572,"quality":"auspicious"},{"name":"Kāla","start":"09:43","end":"11:22","startHours":9.719751019672572,"endHours":11.360534944170762,"quality":"inauspicious"},{"name":"Śubha","start":"11:22","end":"13:00","startHours":11.360534944170762,"endHours":13.001318868668953,"quality":"auspicious"},{"name":"Roga","start":"13:00","end":"14:39","startHours":13.001318868668953,"endHours":14.642102793167144,"quality":"inauspicious"},{"name":"Udveg","start":"14:39","end":"16:17","startHours":14.642102793167144,"endHours":16.28288671766534,"quality":"inauspicious"},{"name":"Chala","start":"16:17","end":"17:55","startHours":16.28288671766534,"endHours":17.92367064216353,"quality":"neutral"},{"name":"Labha","start":"17:55","end":"19:34","startHours":17.92367064216353,"endHours":19.56445456666172,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:34","end":"20:55","startHours":19.56445456666172,"endHours":20.92367064216353,"quality":"inauspicious"},{"name":"Chala","start":"20:55","end":"22:17","startHours":20.92367064216353,"endHours":22.282886717665335,"quality":"neutral"},{"name":"Labha","start":"22:17","end":"23:39","startHours":22.282886717665335,"endHours":23.642102793167144,"quality":"auspicious"},{"name":"Amṛta","start":"23:39","end":"01:00","startHours":23.642102793167144,"endHours":25.001318868668953,"quality":"auspicious"},{"name":"Kāla","start":"01:00","end":"02:22","startHours":25.001318868668953,"endHours":26.360534944170762,"quality":"inauspicious"},{"name":"Śubha","start":"02:22","end":"03:43","startHours":26.360534944170762,"endHours":27.71975101967257,"quality":"auspicious"},{"name":"Roga","start":"03:43","end":"05:05","startHours":27.71975101967257,"endHours":29.078967095174377,"quality":"inauspicious"},{"name":"Udveg","start":"05:05","end":"06:26","startHours":29.078967095174377,"endHours":30.438183170676187,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.438183170676187,"endHours":7.438183170676187,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.438183170676187,"endHours":8.438183170676187,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.438183170676187,"endHours":9.438183170676187,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.438183170676187,"endHours":10.438183170676187,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.438183170676187,"endHours":11.438183170676187,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.438183170676187,"endHours":12.438183170676187,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.438183170676187,"endHours":13.438183170676187,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.438183170676187,"endHours":14.438183170676187,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.438183170676187,"endHours":15.438183170676187,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.438183170676187,"endHours":16.438183170676187,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.438183170676187,"endHours":17.438183170676187,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.438183170676187,"endHours":18.438183170676187,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.438183170676187,"endHours":19.438183170676187,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.438183170676187,"endHours":20.438183170676187,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.438183170676187,"endHours":21.438183170676187,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.438183170676187,"endHours":22.438183170676187,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.438183170676187,"endHours":23.438183170676187,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.438183170676187,"endHours":24.438183170676187,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.438183170676187,"endHours":25.438183170676187,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.438183170676187,"endHours":26.438183170676187,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.438183170676187,"endHours":27.438183170676187,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.438183170676187,"endHours":28.438183170676187,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.438183170676187,"endHours":29.438183170676187,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.438183170676187,"endHours":30.438183170676187,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.689166429784887,"eotMinutes":-5.953532120137101,"ayanamsa":24.4898}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"dwarka"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 2, 2045 CE · Dvārakā · Vidhyamitra","description":"August 2, 2045 CE for Dvārakā: Kṛṣṇa Pañcamī, sūryodaya 06:26, sūryāsta 19:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2045-08-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2045-08-02","sa":"https://sa.vidhyamitra.com/city/dwarka/2045-08-02","hi":"https://hi.vidhyamitra.com/city/dwarka/2045-08-02","x-default":"https://vidhyamitra.com/city/dwarka/2045-08-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T13:38:50.326Z","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":"2026-09-11T13:38:50.326Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T13:38:50.326Z","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"}}}