{"id":"vidhyamitra:city-day:rishikesh:2045-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2045-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-04-15","date_display":"April 15, 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":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468085.770833,"kali_year":5146,"ahargana":1879620.2708,"sun":{"sidereal_longitude":1.0279,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":333.2234,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.1956,"elapsed_within_tithi_degrees":8.1956},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":333.2234,"elapsed_within_degrees":13.2234},"yoga":{"number":26,"name":"Indra","sum_longitude":334.2513},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":4,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468085.770833,"ahargana":1879620.2708,"kali_year":5146,"ayanamsa_lahiri":24.4856,"grahas":{"sun":{"sidereal_longitude":1.0024310000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":334.0505310000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":1.8682},"mars":{"sidereal_longitude":4.388031000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":332.9572310000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":309.67033100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":7.271730999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.86403100000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":308.6727,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":128.6727,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468085.770833,"kali_year":5146,"ahargana":1879620.2708,"sun":{"sidereal_longitude":1.0279,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":333.2234,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.1956,"elapsed_within_tithi_degrees":8.1956},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":333.2234,"elapsed_within_degrees":13.2234},"yoga":{"number":26,"name":"Indra","sum_longitude":334.2513},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.868,"elongation":27.804},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.868,"opposition_distance":152.196}},"eclipse_window_40days":[]},"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":"05:50","sunsetLocal":"18:44","solarNoonLocal":"12:17","dayLengthHours":12.90125386390577,"dayLengthDisplay":"12 Hours 54 Mins 05 Secs","nightLengthDisplay":"11 Hours 05 Mins 55 Secs","moonriseLocal":"04:28","moonsetLocal":"16:31","rahuKala":{"name":"Rāhu Kāla","start":"09:04","end":"10:40","startHours":9.060848601653678,"endHours":10.673505334641899,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:31","startHours":13.898818800618342,"endHours":15.511475533606562,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:50","end":"07:27","startHours":5.835535135677235,"endHours":7.4481918686654565,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.845827703921914,"endHours":9.27586949938544,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.373087380006642,"endHours":6.717120816377463,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.856120272166594,"endHours":12.716203863093645,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.1153679538231325,"endHours":4.975451544750183,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:50","startHours":4.760430647018421,"endHours":5.835535135677235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.436371044947748,"endHours":15.296454635874799,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.536788999583006,"endHours":18.936788999583005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:16","startHours":18.736788999583005,"endHours":19.274341243912414,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.486788999583005,"endHours":20.236788999583005,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.856120272166592,"endHours":24.716203863093646,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:50","end":"07:27","startHours":5.835535135677235,"endHours":7.4481918686654565,"quality":"inauspicious"},{"name":"Śubha","start":"07:27","end":"09:04","startHours":7.4481918686654565,"endHours":9.060848601653678,"quality":"auspicious"},{"name":"Roga","start":"09:04","end":"10:40","startHours":9.060848601653678,"endHours":10.673505334641899,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:17","startHours":10.673505334641899,"endHours":12.28616206763012,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:54","startHours":12.28616206763012,"endHours":13.898818800618342,"quality":"neutral"},{"name":"Labha","start":"13:54","end":"15:31","startHours":13.898818800618342,"endHours":15.511475533606562,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"17:07","startHours":15.511475533606562,"endHours":17.124132266594785,"quality":"auspicious"},{"name":"Kāla","start":"17:07","end":"18:44","startHours":17.124132266594785,"endHours":18.736788999583005,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:44","end":"20:07","startHours":18.736788999583005,"endHours":20.124132266594785,"quality":"auspicious"},{"name":"Amṛta","start":"20:07","end":"21:31","startHours":20.124132266594785,"endHours":21.511475533606564,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"22:54","startHours":21.511475533606564,"endHours":22.898818800618344,"quality":"inauspicious"},{"name":"Śubha","start":"22:54","end":"00:17","startHours":22.898818800618344,"endHours":24.28616206763012,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:40","startHours":24.28616206763012,"endHours":25.6735053346419,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"03:04","startHours":25.6735053346419,"endHours":27.060848601653678,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:27","startHours":27.060848601653678,"endHours":28.448191868665454,"quality":"neutral"},{"name":"Labha","start":"04:27","end":"05:50","startHours":28.448191868665454,"endHours":29.835535135677233,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.835535135677235,"endHours":6.835535135677235,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.835535135677235,"endHours":7.835535135677235,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.835535135677235,"endHours":8.835535135677235,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.835535135677235,"endHours":9.835535135677235,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.835535135677235,"endHours":10.835535135677235,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.835535135677235,"endHours":11.835535135677235,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.835535135677235,"endHours":12.835535135677235,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.835535135677235,"endHours":13.835535135677235,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.835535135677235,"endHours":14.835535135677235,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.835535135677235,"endHours":15.835535135677235,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.835535135677235,"endHours":16.835535135677233,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.835535135677233,"endHours":17.835535135677233,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.835535135677233,"endHours":18.835535135677233,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.835535135677233,"endHours":19.835535135677233,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.835535135677233,"endHours":20.835535135677233,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.835535135677233,"endHours":21.835535135677233,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.835535135677233,"endHours":22.835535135677233,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.835535135677233,"endHours":23.835535135677233,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.835535135677233,"endHours":24.835535135677233,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.835535135677233,"endHours":25.835535135677233,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.835535135677233,"endHours":26.835535135677233,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.835535135677233,"endHours":27.835535135677233,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.835535135677233,"endHours":28.835535135677233,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.835535135677233,"endHours":29.835535135677233,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.854877769438648,"eotMinutes":-0.240124057807095,"ayanamsa":24.4856}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śanivāra (Saturday) — 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 April 15, 2045 CE · Ṛṣikeśa · Vidhyamitra","description":"April 15, 2045 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 05:50, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2045-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2045-04-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2045-04-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2045-04-15","x-default":"https://vidhyamitra.com/city/rishikesh/2045-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-09T17:54:14.306Z","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":"2026-08-09T17:54:14.306Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-09T17:54:14.306Z","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"}}}