{"id":"vidhyamitra:city-day:rishikesh:2040-10-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-10-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-10-22","date_display":"October 22, 2040 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":2040,"month":10,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466449.770833,"kali_year":5142,"ahargana":1877984.2708,"sun":{"sidereal_longitude":184.0164,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":28.541,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5247,"elapsed_within_tithi_degrees":0.5247},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.541,"elapsed_within_degrees":1.8744},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.5574},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2040,"month":10,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466449.770833,"ahargana":1877984.2708,"kali_year":5142,"ayanamsa_lahiri":24.4231,"grahas":{"sun":{"sidereal_longitude":184.83323900000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":27.503139000000033,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-0.5334},"mars":{"sidereal_longitude":200.44743900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":183.07583899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":171.00163900000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":221.26993900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":171.60983899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":35.3558,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":215.3558,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":10,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466449.770833,"kali_year":5142,"ahargana":1877984.2708,"sun":{"sidereal_longitude":184.0164,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":28.541,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":204.5247,"elapsed_within_tithi_degrees":0.5247},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.541,"elapsed_within_degrees":1.8744},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.5574},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.533,"elongation":155.475},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.533,"opposition_distance":24.525}},"eclipse_window_40days":[{"offset_days":14,"type":"solar","occurs":true,"moon_latitude":1.132,"elongation":1.981}]},"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":"06:23","sunsetLocal":"17:39","solarNoonLocal":"12:01","dayLengthHours":11.252592778459835,"dayLengthDisplay":"11 Hours 15 Mins 09 Secs","nightLengthDisplay":"12 Hours 44 Mins 51 Secs","moonriseLocal":"18:45","moonsetLocal":"08:19","rahuKala":{"name":"Rāhu Kāla","start":"07:48","end":"09:12","startHours":7.7966098929309045,"endHours":9.203183990238383,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:01","startHours":10.609758087545863,"endHours":12.016332184853344,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:25","end":"14:50","startHours":13.422906282160822,"endHours":14.8294803794683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:23","startHours":9.015640777264053,"endHours":9.390727203212714,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:10","startHours":6.8588938280592515,"endHours":7.15896296881818,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.641245758904683,"endHours":12.391418610802004,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:38","startHours":4.889690091828781,"endHours":5.6398629437261025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:27","end":"06:23","startHours":5.452319730751772,"endHours":6.390035795623425,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.89176431459665,"endHours":14.641937166493971,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.442628574083262,"endHours":17.84262857408326,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:07","startHours":17.64262857408326,"endHours":18.111486606519087,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.39262857408326,"endHours":19.14262857408326,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.64124575890468,"endHours":24.391418610802006,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:23","end":"07:48","startHours":6.390035795623425,"endHours":7.7966098929309045,"quality":"auspicious"},{"name":"Kāla","start":"07:48","end":"09:12","startHours":7.7966098929309045,"endHours":9.203183990238383,"quality":"inauspicious"},{"name":"Śubha","start":"09:12","end":"10:37","startHours":9.203183990238383,"endHours":10.609758087545863,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:01","startHours":10.609758087545863,"endHours":12.016332184853344,"quality":"inauspicious"},{"name":"Udveg","start":"12:01","end":"13:25","startHours":12.016332184853344,"endHours":13.422906282160822,"quality":"inauspicious"},{"name":"Chala","start":"13:25","end":"14:50","startHours":13.422906282160822,"endHours":14.8294803794683,"quality":"neutral"},{"name":"Labha","start":"14:50","end":"16:14","startHours":14.8294803794683,"endHours":16.23605447677578,"quality":"auspicious"},{"name":"Amṛta","start":"16:14","end":"17:39","startHours":16.23605447677578,"endHours":17.64262857408326,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:39","end":"19:14","startHours":17.64262857408326,"endHours":19.23605447677578,"quality":"neutral"},{"name":"Labha","start":"19:14","end":"20:50","startHours":19.23605447677578,"endHours":20.8294803794683,"quality":"auspicious"},{"name":"Amṛta","start":"20:50","end":"22:25","startHours":20.8294803794683,"endHours":22.422906282160824,"quality":"auspicious"},{"name":"Kāla","start":"22:25","end":"00:01","startHours":22.422906282160824,"endHours":24.016332184853344,"quality":"inauspicious"},{"name":"Śubha","start":"00:01","end":"01:37","startHours":24.016332184853344,"endHours":25.609758087545863,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:12","startHours":25.609758087545863,"endHours":27.203183990238387,"quality":"inauspicious"},{"name":"Udveg","start":"03:12","end":"04:48","startHours":27.203183990238387,"endHours":28.796609892930906,"quality":"inauspicious"},{"name":"Chala","start":"04:48","end":"06:23","startHours":28.796609892930906,"endHours":30.390035795623426,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:23","end":"07:23","startHours":6.390035795623425,"endHours":7.390035795623425,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:23","end":"08:23","startHours":7.390035795623425,"endHours":8.390035795623426,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:23","end":"09:23","startHours":8.390035795623426,"endHours":9.390035795623426,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:23","end":"10:23","startHours":9.390035795623426,"endHours":10.390035795623426,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:23","end":"11:23","startHours":10.390035795623426,"endHours":11.390035795623426,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:23","end":"12:23","startHours":11.390035795623426,"endHours":12.390035795623426,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:23","end":"13:23","startHours":12.390035795623426,"endHours":13.390035795623426,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:23","end":"14:23","startHours":13.390035795623426,"endHours":14.390035795623426,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:23","end":"15:23","startHours":14.390035795623426,"endHours":15.390035795623426,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:23","end":"16:23","startHours":15.390035795623426,"endHours":16.390035795623426,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:23","end":"17:23","startHours":16.390035795623426,"endHours":17.390035795623426,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:23","end":"18:23","startHours":17.390035795623426,"endHours":18.390035795623426,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:23","end":"19:23","startHours":18.390035795623426,"endHours":19.390035795623426,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:23","end":"20:23","startHours":19.390035795623426,"endHours":20.390035795623426,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:23","end":"21:23","startHours":20.390035795623426,"endHours":21.390035795623426,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:23","end":"22:23","startHours":21.390035795623426,"endHours":22.390035795623426,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:23","end":"23:23","startHours":22.390035795623426,"endHours":23.390035795623426,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:23","end":"00:23","startHours":23.390035795623426,"endHours":24.390035795623426,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:23","end":"01:23","startHours":24.390035795623426,"endHours":25.390035795623426,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:23","end":"02:23","startHours":25.390035795623426,"endHours":26.390035795623426,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:23","end":"03:23","startHours":26.390035795623426,"endHours":27.390035795623426,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:23","end":"04:23","startHours":27.390035795623426,"endHours":28.390035795623426,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:23","end":"05:23","startHours":28.390035795623426,"endHours":29.390035795623426,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:23","end":"06:23","startHours":29.390035795623426,"endHours":30.390035795623426,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-11.208444166576408,"eotMinutes":15.949668908799335,"ayanamsa":24.4231}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Tṛtīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 October 22, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"October 22, 2040 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 06:23, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-10-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-10-22","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-10-22","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-10-22","x-default":"https://vidhyamitra.com/city/rishikesh/2040-10-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T11:04:17.981Z","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":"2026-05-19T11:04:17.981Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T11:04:17.981Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}