{"id":"vidhyamitra:city-day:rishikesh:2045-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/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":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:34","sunsetLocal":"19:12","solarNoonLocal":"12:23","dayLengthHours":13.623327430145977,"dayLengthDisplay":"13 Hours 37 Mins 24 Secs","nightLengthDisplay":"10 Hours 22 Mins 36 Secs","moonriseLocal":"19:44","moonsetLocal":"06:38","rahuKala":{"name":"Rāhu Kāla","start":"17:30","end":"19:12","startHours":17.492819214917745,"endHours":19.195735143685994,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:05","startHours":12.384071428613005,"endHours":14.08698735738125,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:47","end":"17:30","startHours":15.7899032861495,"endHours":17.492819214917745,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.75118411390741,"endHours":9.20529502824561,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.140046356462765,"endHours":6.5033350879333245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:50","startHours":11.929960514274805,"endHours":12.838182342951205,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:45","end":"04:40","startHours":3.755964056187219,"endHours":4.664185884863617,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:34","startHours":4.437130427694518,"endHours":5.572407713540016,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:34","startHours":14.654626000303999,"endHours":15.562847828980397,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":18.995735143685994,"endHours":19.395735143685993,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:46","startHours":19.195735143685994,"endHours":19.763373786608742,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.945735143685994,"endHours":20.695735143685994,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:50","startHours":23.929960514274807,"endHours":24.838182342951203,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:34","end":"07:17","startHours":5.572407713540016,"endHours":7.275323642308263,"quality":"inauspicious"},{"name":"Chala","start":"07:17","end":"08:59","startHours":7.275323642308263,"endHours":8.97823957107651,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:41","startHours":8.97823957107651,"endHours":10.681155499844756,"quality":"auspicious"},{"name":"Amṛta","start":"10:41","end":"12:23","startHours":10.681155499844756,"endHours":12.384071428613005,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:05","startHours":12.384071428613005,"endHours":14.08698735738125,"quality":"inauspicious"},{"name":"Śubha","start":"14:05","end":"15:47","startHours":14.08698735738125,"endHours":15.7899032861495,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:30","startHours":15.7899032861495,"endHours":17.492819214917745,"quality":"inauspicious"},{"name":"Udveg","start":"17:30","end":"19:12","startHours":17.492819214917745,"endHours":19.195735143685994,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:12","end":"20:30","startHours":19.195735143685994,"endHours":20.492819214917745,"quality":"auspicious"},{"name":"Roga","start":"20:30","end":"21:47","startHours":20.492819214917745,"endHours":21.7899032861495,"quality":"inauspicious"},{"name":"Udveg","start":"21:47","end":"23:05","startHours":21.7899032861495,"endHours":23.086987357381254,"quality":"inauspicious"},{"name":"Chala","start":"23:05","end":"00:23","startHours":23.086987357381254,"endHours":24.384071428613005,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:41","startHours":24.384071428613005,"endHours":25.681155499844756,"quality":"auspicious"},{"name":"Amṛta","start":"01:41","end":"02:59","startHours":25.681155499844756,"endHours":26.97823957107651,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:17","startHours":26.97823957107651,"endHours":28.275323642308265,"quality":"inauspicious"},{"name":"Śubha","start":"04:17","end":"05:34","startHours":28.275323642308265,"endHours":29.572407713540017,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.572407713540016,"endHours":6.572407713540016,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.572407713540016,"endHours":7.572407713540016,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.572407713540016,"endHours":8.572407713540017,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.572407713540017,"endHours":9.572407713540017,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.572407713540017,"endHours":10.572407713540017,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.572407713540017,"endHours":11.572407713540017,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.572407713540017,"endHours":12.572407713540017,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.572407713540017,"endHours":13.572407713540017,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.572407713540017,"endHours":14.572407713540017,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.572407713540017,"endHours":15.572407713540017,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.572407713540017,"endHours":16.572407713540017,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.572407713540017,"endHours":17.572407713540017,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.572407713540017,"endHours":18.572407713540017,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.572407713540017,"endHours":19.572407713540017,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.572407713540017,"endHours":20.572407713540017,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.572407713540017,"endHours":21.572407713540017,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.572407713540017,"endHours":22.572407713540017,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.572407713540017,"endHours":23.572407713540017,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.572407713540017,"endHours":24.572407713540017,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.572407713540017,"endHours":25.572407713540017,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.572407713540017,"endHours":26.572407713540017,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.572407713540017,"endHours":27.572407713540017,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.572407713540017,"endHours":28.572407713540017,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.572407713540017,"endHours":29.572407713540017,"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"},"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":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","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvitīyā · 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":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"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 · Ṛṣikeśa · Vidhyamitra","description":"July 30, 2045 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 05:34, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-07-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-07-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-07-30","x-default":"https://vidhyamitra.com/city/rishikesh/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":"2026-05-16T12:03:58.271Z","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":"2026-05-16T12:03:58.271Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T12:03:58.271Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}