{"id":"vidhyamitra:city-day:vrindavan:2045-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-30","date_display":"July 30, 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":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468191.770833,"kali_year":5147,"ahargana":1879726.2708,"sun":{"sidereal_longitude":102.1936,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":296.4179,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.2243,"elapsed_within_tithi_degrees":2.2243},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.4179,"elapsed_within_degrees":3.0845},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.6114},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468191.770833,"ahargana":1879726.2708,"kali_year":5147,"ayanamsa_lahiri":24.4897,"grahas":{"sun":{"sidereal_longitude":102.826281,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":294.91108099999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-0.5197},"mars":{"sidereal_longitude":79.13068099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":97.017181,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":316.62218099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":136.23538099999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":219.83098100000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":303.0563,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":123.0563,"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":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468191.770833,"kali_year":5147,"ahargana":1879726.2708,"sun":{"sidereal_longitude":102.1936,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":296.4179,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.2243,"elapsed_within_tithi_degrees":2.2243},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.4179,"elapsed_within_degrees":3.0845},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.6114},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.52,"elongation":165.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.52,"opposition_distance":14.224}},"eclipse_window_40days":[{"offset_days":-1,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:25","dayLengthHours":13.470845989950575,"dayLengthDisplay":"13 Hours 28 Mins 15 Secs","nightLengthDisplay":"10 Hours 31 Mins 45 Secs","moonriseLocal":"19:43","moonsetLocal":"06:44","rahuKala":{"name":"Rāhu Kāla","start":"17:29","end":"19:10","startHours":17.4761920081778,"endHours":19.160047756921625,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:07","startHours":12.424624761946337,"endHours":14.108480510690157,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:48","end":"17:29","startHours":15.79233625943398,"endHours":17.4761920081778,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.832399164626182,"endHours":9.2814273642912,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.250487016552322,"endHours":6.609709576284337,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.975596562281318,"endHours":12.873652961611356,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:47","startHours":3.8930889683109715,"endHours":4.791145367641009,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.5666312678085,"endHours":5.689201766971048,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.669765760271432,"endHours":15.56782215960147,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.960047756921625,"endHours":19.360047756921624,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:43","startHours":19.160047756921625,"endHours":19.7213330065029,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.910047756921625,"endHours":20.660047756921625,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.975596562281318,"endHours":24.873652961611356,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:41","end":"07:22","startHours":5.689201766971048,"endHours":7.37305751571487,"quality":"inauspicious"},{"name":"Chala","start":"07:22","end":"09:03","startHours":7.37305751571487,"endHours":9.056913264458693,"quality":"neutral"},{"name":"Labha","start":"09:03","end":"10:44","startHours":9.056913264458693,"endHours":10.740769013202513,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:25","startHours":10.740769013202513,"endHours":12.424624761946337,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:07","startHours":12.424624761946337,"endHours":14.108480510690157,"quality":"inauspicious"},{"name":"Śubha","start":"14:07","end":"15:48","startHours":14.108480510690157,"endHours":15.79233625943398,"quality":"auspicious"},{"name":"Roga","start":"15:48","end":"17:29","startHours":15.79233625943398,"endHours":17.4761920081778,"quality":"inauspicious"},{"name":"Udveg","start":"17:29","end":"19:10","startHours":17.4761920081778,"endHours":19.160047756921625,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:10","end":"20:29","startHours":19.160047756921625,"endHours":20.476192008177804,"quality":"auspicious"},{"name":"Roga","start":"20:29","end":"21:48","startHours":20.476192008177804,"endHours":21.79233625943398,"quality":"inauspicious"},{"name":"Udveg","start":"21:48","end":"23:07","startHours":21.79233625943398,"endHours":23.108480510690157,"quality":"inauspicious"},{"name":"Chala","start":"23:07","end":"00:25","startHours":23.108480510690157,"endHours":24.424624761946337,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:44","startHours":24.424624761946337,"endHours":25.740769013202517,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:03","startHours":25.740769013202517,"endHours":27.056913264458693,"quality":"auspicious"},{"name":"Kāla","start":"03:03","end":"04:22","startHours":27.056913264458693,"endHours":28.37305751571487,"quality":"inauspicious"},{"name":"Śubha","start":"04:22","end":"05:41","startHours":28.37305751571487,"endHours":29.68920176697105,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.689201766971048,"endHours":6.689201766971048,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.689201766971048,"endHours":7.689201766971048,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.689201766971048,"endHours":8.689201766971049,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.689201766971049,"endHours":9.689201766971049,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.689201766971049,"endHours":10.689201766971049,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.689201766971049,"endHours":11.689201766971049,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.689201766971049,"endHours":12.689201766971049,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.689201766971049,"endHours":13.689201766971049,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.689201766971049,"endHours":14.689201766971049,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.689201766971049,"endHours":15.689201766971049,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.689201766971049,"endHours":16.68920176697105,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.68920176697105,"endHours":17.68920176697105,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.68920176697105,"endHours":18.68920176697105,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.68920176697105,"endHours":19.68920176697105,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.68920176697105,"endHours":20.68920176697105,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.68920176697105,"endHours":21.68920176697105,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.68920176697105,"endHours":22.68920176697105,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.68920176697105,"endHours":23.68920176697105,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.68920176697105,"endHours":24.68920176697105,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.68920176697105,"endHours":25.68920176697105,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.68920176697105,"endHours":26.68920176697105,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.68920176697105,"endHours":27.68920176697105,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.68920176697105,"endHours":28.68920176697105,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.68920176697105,"endHours":29.68920176697105,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","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":18.440421976565787,"eotMinutes":-6.1146857167802535,"ayanamsa":24.4897}},"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 Dvitīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":[]},"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 July 30, 2045 CE · Vṛndāvana · Vidhyamitra","description":"July 30, 2045 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-07-30","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-07-30","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-07-30","x-default":"https://vidhyamitra.com/city/vrindavan/2045-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:31:48.205Z","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":"2026-05-31T03:31:48.205Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:31:48.205Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}