{"id":"vidhyamitra:city-day:singapore:2026-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/singapore/2026-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-10-03","date_display":"October 3, 2026 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":2026,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461316.770833,"kali_year":5128,"ahargana":1872851.2708,"sun":{"sidereal_longitude":164.8159,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":67.0229,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.207,"elapsed_within_tithi_degrees":10.207},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.0229,"elapsed_within_degrees":0.3563},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.8388},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2026,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461316.770833,"ahargana":1872851.2708,"kali_year":5128,"ayanamsa_lahiri":24.2267,"grahas":{"sun":{"sidereal_longitude":165.62595699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":68.81235700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.908},"mars":{"sidereal_longitude":98.31005700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":188.74915699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":115.51575700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.01225699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":347.231957,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":307.3269,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.3269,"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":"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":2026,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461316.770833,"kali_year":5128,"ahargana":1872851.2708,"sun":{"sidereal_longitude":164.8159,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":67.0229,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.207,"elapsed_within_tithi_degrees":10.207},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.0229,"elapsed_within_degrees":0.3563},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.8388},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.908,"elongation":97.793},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.908,"opposition_distance":82.207}},"eclipse_window_40days":[]},"city":{"slug":"singapore","name":"Singapore","lat":1.3521,"lon":103.8198,"tz_offset_hours":8,"country":"SG","tier":"diaspora"},"tier2":{"city":{"slug":"singapore","name":"Singapore","lat":1.3521,"lon":103.8198,"tz_offset_hours":8,"country":"SG","tier":"diaspora"},"sunriseLocal":"06:50","sunsetLocal":"18:56","solarNoonLocal":"12:53","dayLengthHours":12.09905434969702,"dayLengthDisplay":"12 Hours 05 Mins 57 Secs","nightLengthDisplay":"11 Hours 54 Mins 03 Secs","moonriseLocal":"00:21","moonsetLocal":"12:31","rahuKala":{"name":"Rāhu Kāla","start":"09:51","end":"11:22","startHours":9.857344261216486,"endHours":11.369726054928615,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:24","end":"15:54","startHours":14.39448964235287,"endHours":15.906871436064996,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:50","end":"08:21","startHours":6.832580673792232,"endHours":8.34496246750436,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:04","startHours":9.655693355388204,"endHours":10.05899516704477,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:40","startHours":7.336707938362941,"endHours":7.659349387688195,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:29","end":"13:17","startHours":12.478806036984176,"endHours":13.28540966029731,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:13","end":"06:02","startHours":5.219373427165962,"endHours":6.0259770504790975,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:49","end":"06:50","startHours":5.824326144650813,"endHours":6.832580673792232,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:42","startHours":14.898616906923579,"endHours":15.705220530236714,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.731635023489254,"endHours":19.131635023489252,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:26","startHours":18.931635023489253,"endHours":19.435762288059962,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.681635023489253,"endHours":20.431635023489253,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:29","end":"01:17","startHours":24.478806036984174,"endHours":25.28540966029731,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:50","end":"08:21","startHours":6.832580673792232,"endHours":8.34496246750436,"quality":"inauspicious"},{"name":"Śubha","start":"08:21","end":"09:51","startHours":8.34496246750436,"endHours":9.857344261216486,"quality":"auspicious"},{"name":"Roga","start":"09:51","end":"11:22","startHours":9.857344261216486,"endHours":11.369726054928615,"quality":"inauspicious"},{"name":"Udveg","start":"11:22","end":"12:53","startHours":11.369726054928615,"endHours":12.882107848640743,"quality":"inauspicious"},{"name":"Chala","start":"12:53","end":"14:24","startHours":12.882107848640743,"endHours":14.39448964235287,"quality":"neutral"},{"name":"Labha","start":"14:24","end":"15:54","startHours":14.39448964235287,"endHours":15.906871436064996,"quality":"auspicious"},{"name":"Amṛta","start":"15:54","end":"17:25","startHours":15.906871436064996,"endHours":17.419253229777127,"quality":"auspicious"},{"name":"Kāla","start":"17:25","end":"18:56","startHours":17.419253229777127,"endHours":18.931635023489253,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:56","end":"20:25","startHours":18.931635023489253,"endHours":20.419253229777127,"quality":"auspicious"},{"name":"Amṛta","start":"20:25","end":"21:54","startHours":20.419253229777127,"endHours":21.906871436064996,"quality":"auspicious"},{"name":"Kāla","start":"21:54","end":"23:24","startHours":21.906871436064996,"endHours":23.39448964235287,"quality":"inauspicious"},{"name":"Śubha","start":"23:24","end":"00:53","startHours":23.39448964235287,"endHours":24.882107848640743,"quality":"auspicious"},{"name":"Roga","start":"00:53","end":"02:22","startHours":24.882107848640743,"endHours":26.369726054928616,"quality":"inauspicious"},{"name":"Udveg","start":"02:22","end":"03:51","startHours":26.369726054928616,"endHours":27.85734426121649,"quality":"inauspicious"},{"name":"Chala","start":"03:51","end":"05:21","startHours":27.85734426121649,"endHours":29.34496246750436,"quality":"neutral"},{"name":"Labha","start":"05:21","end":"06:50","startHours":29.34496246750436,"endHours":30.832580673792233,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.832580673792232,"endHours":7.832580673792232,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.832580673792232,"endHours":8.832580673792233,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.832580673792233,"endHours":9.832580673792233,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.832580673792233,"endHours":10.832580673792233,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.832580673792233,"endHours":11.832580673792233,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.832580673792233,"endHours":12.832580673792233,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.832580673792233,"endHours":13.832580673792233,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.832580673792233,"endHours":14.832580673792233,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.832580673792233,"endHours":15.832580673792233,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.832580673792233,"endHours":16.832580673792233,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.832580673792233,"endHours":17.832580673792233,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.832580673792233,"endHours":18.832580673792233,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.832580673792233,"endHours":19.832580673792233,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.832580673792233,"endHours":20.832580673792233,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.832580673792233,"endHours":21.832580673792233,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.832580673792233,"endHours":22.832580673792233,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.832580673792233,"endHours":23.832580673792233,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.832580673792233,"endHours":24.832580673792233,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.832580673792233,"endHours":25.832580673792233,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.832580673792233,"endHours":26.832580673792233,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.832580673792233,"endHours":27.832580673792233,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.832580673792233,"endHours":28.832580673792233,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.832580673792233,"endHours":29.832580673792233,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.832580673792233,"endHours":30.832580673792233,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.902453423603578,"eotMinutes":11.794329081555436,"ayanamsa":24.2267}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"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":[]},"validity":{"eternal":false,"location_specific":"singapore"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 3, 2026 CE · Singapore · Vidhyamitra","description":"October 3, 2026 CE for Singapore: Kṛṣṇa Saptamī, sūryodaya 06:50, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/singapore/2026-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/singapore/2026-10-03","sa":"https://sa.vidhyamitra.com/city/singapore/2026-10-03","hi":"https://hi.vidhyamitra.com/city/singapore/2026-10-03","x-default":"https://vidhyamitra.com/city/singapore/2026-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-23T17:25:24.629Z","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":"2026-07-23T17:25:24.629Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-23T17:25:24.629Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-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","Divyāṁśa-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"}}}