{"id":"vidhyamitra:city-day:rishikesh:2041-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2041-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-04-18","date_display":"April 18, 2041 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":2041,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466627.770833,"kali_year":5143,"ahargana":1878162.2708,"sun":{"sidereal_longitude":3.9865,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":202.3925,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.4061,"elapsed_within_tithi_degrees":6.4061},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.3925,"elapsed_within_degrees":2.3925},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.379},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2041,"month":4,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466627.770833,"ahargana":1878162.2708,"kali_year":5143,"ayanamsa_lahiri":24.4299,"grahas":{"sun":{"sidereal_longitude":3.963037999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":202.11313799999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":0.2769},"mars":{"sidereal_longitude":335.3931379999999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":6.996838000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":181.903138,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":326.823938,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":175.330238,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":25.9245,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":205.9245,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"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":2041,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466627.770833,"kali_year":5143,"ahargana":1878162.2708,"sun":{"sidereal_longitude":3.9865,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":202.3925,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.4061,"elapsed_within_tithi_degrees":6.4061},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.3925,"elapsed_within_degrees":2.3925},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.379},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.277,"elongation":161.594},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.277,"opposition_distance":18.406}},"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":"05:47","sunsetLocal":"18:46","solarNoonLocal":"12:16","dayLengthHours":12.985934332468196,"dayLengthDisplay":"12 Hours 59 Mins 09 Secs","nightLengthDisplay":"11 Hours 00 Mins 51 Secs","moonriseLocal":"20:06","moonsetLocal":"06:52","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:31","startHours":13.896970409960469,"endHours":15.520212201518993,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:47","end":"07:24","startHours":5.780761452167846,"endHours":7.404003243726371,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:02","end":"10:39","startHours":9.027245035284896,"endHours":10.65048682684342,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.810812796410424,"endHours":9.243677274159365,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.3218420493540215,"endHours":6.668133631553173,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.840864140653004,"endHours":12.706593096150883,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.049303541172087,"endHours":4.9150324966699666,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.698600257795497,"endHours":5.780761452167846,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.438051007146642,"endHours":15.303779962644521,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.566695784636043,"endHours":18.96669578463604,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:18","startHours":18.766695784636042,"endHours":19.307776381822215,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.516695784636042,"endHours":20.266695784636042,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.840864140653004,"endHours":24.706593096150883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:47","end":"07:24","startHours":5.780761452167846,"endHours":7.404003243726371,"quality":"auspicious"},{"name":"Roga","start":"07:24","end":"09:02","startHours":7.404003243726371,"endHours":9.027245035284896,"quality":"inauspicious"},{"name":"Udveg","start":"09:02","end":"10:39","startHours":9.027245035284896,"endHours":10.65048682684342,"quality":"inauspicious"},{"name":"Chala","start":"10:39","end":"12:16","startHours":10.65048682684342,"endHours":12.273728618401943,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:54","startHours":12.273728618401943,"endHours":13.896970409960469,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:31","startHours":13.896970409960469,"endHours":15.520212201518993,"quality":"auspicious"},{"name":"Kāla","start":"15:31","end":"17:09","startHours":15.520212201518993,"endHours":17.143453993077518,"quality":"inauspicious"},{"name":"Śubha","start":"17:09","end":"18:46","startHours":17.143453993077518,"endHours":18.766695784636042,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:46","end":"20:09","startHours":18.766695784636042,"endHours":20.143453993077518,"quality":"auspicious"},{"name":"Kāla","start":"20:09","end":"21:31","startHours":20.143453993077518,"endHours":21.520212201518994,"quality":"inauspicious"},{"name":"Śubha","start":"21:31","end":"22:54","startHours":21.520212201518994,"endHours":22.896970409960467,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:16","startHours":22.896970409960467,"endHours":24.273728618401943,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:39","startHours":24.273728618401943,"endHours":25.65048682684342,"quality":"inauspicious"},{"name":"Chala","start":"01:39","end":"03:02","startHours":25.65048682684342,"endHours":27.027245035284896,"quality":"neutral"},{"name":"Labha","start":"03:02","end":"04:24","startHours":27.027245035284896,"endHours":28.404003243726372,"quality":"auspicious"},{"name":"Amṛta","start":"04:24","end":"05:47","startHours":28.404003243726372,"endHours":29.780761452167845,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.780761452167846,"endHours":6.780761452167846,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.780761452167846,"endHours":7.780761452167846,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.780761452167846,"endHours":8.780761452167846,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.780761452167846,"endHours":9.780761452167846,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.780761452167846,"endHours":10.780761452167846,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.780761452167846,"endHours":11.780761452167846,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.780761452167846,"endHours":12.780761452167846,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.780761452167846,"endHours":13.780761452167846,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.780761452167846,"endHours":14.780761452167846,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.780761452167846,"endHours":15.780761452167846,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.780761452167846,"endHours":16.780761452167845,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.780761452167845,"endHours":17.780761452167845,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.780761452167845,"endHours":18.780761452167845,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.780761452167845,"endHours":19.780761452167845,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.780761452167845,"endHours":20.780761452167845,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.780761452167845,"endHours":21.780761452167845,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.780761452167845,"endHours":22.780761452167845,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.780761452167845,"endHours":23.780761452167845,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.780761452167845,"endHours":24.780761452167845,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.780761452167845,"endHours":25.780761452167845,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.780761452167845,"endHours":26.780761452167845,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.780761452167845,"endHours":27.780761452167845,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.780761452167845,"endHours":28.780761452167845,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.780761452167845,"endHours":29.780761452167845,"planetary_lord":"Moon"}],"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.901903344504923,"eotMinutes":0.5058828958834352,"ayanamsa":24.4299}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"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 Dvitīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 18, 2041 CE · Ṛṣikeśa · Vidhyamitra","description":"April 18, 2041 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 05:47, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2041-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2041-04-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2041-04-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2041-04-18","x-default":"https://vidhyamitra.com/city/rishikesh/2041-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:14:46.534Z","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":"2026-05-31T10:14:46.534Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:14:46.534Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}