{"id":"vidhyamitra:city-day:rishikesh:2040-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-21","date_display":"January 21, 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":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466174.770833,"kali_year":5141,"ahargana":1877709.2708,"sun":{"sidereal_longitude":276.014,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":2.6269,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6129,"elapsed_within_tithi_degrees":2.6129},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.6269,"elapsed_within_degrees":2.6269},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.6409},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2040,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466174.770833,"ahargana":1877709.2708,"kali_year":5141,"ayanamsa_lahiri":24.4125,"grahas":{"sun":{"sidereal_longitude":276.178546,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":5.533546000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.3055},"mars":{"sidereal_longitude":70.49184600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":285.9385460000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":156.62844599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":243.36484599999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":166.885046,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":49.9267,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":229.9267,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466174.770833,"kali_year":5141,"ahargana":1877709.2708,"sun":{"sidereal_longitude":276.014,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":2.6269,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.6129,"elapsed_within_tithi_degrees":2.6129},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.6269,"elapsed_within_degrees":2.6269},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.6409},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.306,"elongation":86.613},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.306,"opposition_distance":93.387}},"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":"07:13","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.514399071441069,"dayLengthDisplay":"10 Hours 30 Mins 52 Secs","nightLengthDisplay":"13 Hours 29 Mins 08 Secs","moonriseLocal":"11:56","moonsetLocal":"00:55","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:09","startHours":9.841155752958603,"endHours":11.155455636888735,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:06","startHours":13.784055404749003,"endHours":15.098355288679137,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:32","startHours":7.2125559850983345,"endHours":8.526855869028468,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.665915768434584,"endHours":10.01639573748262,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.650655946408379,"endHours":7.931039921646807,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119275551770832,"endHours":12.820235489866905,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.810636108906192,"endHours":6.511596047002263,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.336356062478245,"endHours":7.2125559850983345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.222155366059047,"endHours":14.923115304155118,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.526955056539403,"endHours":17.926955056539402,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.726955056539403,"endHours":18.165055017849447,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.476955056539403,"endHours":19.226955056539403,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119275551770833,"endHours":24.820235489866903,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:32","startHours":7.2125559850983345,"endHours":8.526855869028468,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:50","startHours":8.526855869028468,"endHours":9.841155752958603,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:09","startHours":9.841155752958603,"endHours":11.155455636888735,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:28","startHours":11.155455636888735,"endHours":12.469755520818868,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.784055404749003,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:06","startHours":13.784055404749003,"endHours":15.098355288679137,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:25","startHours":15.098355288679137,"endHours":16.41265517260927,"quality":"auspicious"},{"name":"Kāla","start":"16:25","end":"17:44","startHours":16.41265517260927,"endHours":17.726955056539403,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:44","end":"19:25","startHours":17.726955056539403,"endHours":19.41265517260927,"quality":"auspicious"},{"name":"Amṛta","start":"19:25","end":"21:06","startHours":19.41265517260927,"endHours":21.098355288679137,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:47","startHours":21.098355288679137,"endHours":22.784055404749,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:28","startHours":22.784055404749,"endHours":24.469755520818868,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.155455636888735,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:50","startHours":26.155455636888735,"endHours":27.8411557529586,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:32","startHours":27.8411557529586,"endHours":29.526855869028466,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:13","startHours":29.526855869028466,"endHours":31.212555985098334,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.2125559850983345,"endHours":8.212555985098334,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.212555985098334,"endHours":9.212555985098334,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.212555985098334,"endHours":10.212555985098334,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.212555985098334,"endHours":11.212555985098334,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.212555985098334,"endHours":12.212555985098334,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.212555985098334,"endHours":13.212555985098334,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.212555985098334,"endHours":14.212555985098334,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.212555985098334,"endHours":15.212555985098334,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.212555985098334,"endHours":16.212555985098334,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.212555985098334,"endHours":17.212555985098334,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.212555985098334,"endHours":18.212555985098334,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.212555985098334,"endHours":19.212555985098334,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.212555985098334,"endHours":20.212555985098334,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.212555985098334,"endHours":21.212555985098334,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.212555985098334,"endHours":22.212555985098334,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.212555985098334,"endHours":23.212555985098334,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.212555985098334,"endHours":24.212555985098334,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.212555985098334,"endHours":25.212555985098334,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.212555985098334,"endHours":26.212555985098334,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.212555985098334,"endHours":27.212555985098334,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.212555985098334,"endHours":28.212555985098334,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.212555985098334,"endHours":29.212555985098334,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.212555985098334,"endHours":30.212555985098334,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.212555985098334,"endHours":31.212555985098334,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.021740624084067,"eotMinutes":-11.255731249132124,"ayanamsa":24.4125}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"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":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 January 21, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 2040 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/2040-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:51:19.284Z","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":"2026-05-31T06:51:19.284Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:51:19.284Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}